Plaintiffs David Michael Bain (“Michael Bain”) and David H. Bain (“David Bain”) appeal from the trial court’s grant of summary judgment to defendant Unitrin Auto and Home Insurance Company. Michael Bain, an insured under David Bain’s policy with Unitrin, brought suit for personal injuries arising out of an automobile accident (“the underlying action”). After the defendants in the underlying action counterclaimed for property damage, Unitrin retained counsel to defend the counterclaim in accordance with its policy’s duty to defend. Plaintiffs contend that Unitrin is liable for expenses incurred for an expert witness who testified on Michael Bain’s behalf in the underlying action. Because plaintiffs have not presented evidence sufficient to create a genuine issue of material fact as to whether the expert’s services constitute a “defense cost” for which Unitrin is responsible, we affirm.
Facts
On or about 11 September 2005, Unitrin issued an automobile insurance policy to David Bain covering the period from 11 September 2005 through 11 March 2006. Pursuant to that policy, Unitrin agreed to insure, among other things, a GMC van owned by David Bain and David Bain’s son, Michael Bain.
The policy provided with respect to payment of damages and costs:
We will pay damages for “bodily injury” or “property damage” for which any “insured” becomes legally responsible because of an auto accident. Damages include prejudgment interest awarded against the “insured.” We will settle or defend, as we consider appropriate, any claim or suit asking for these damages. In addition *400 to our limit of liability, we will pay all defense costs we incur. Our duty to settle or defend ends when our limit of liability for this coverage has been exhausted. We have no duty to defend any suit or settle any claim for “bodily injury” or “property damage” not covered under this policy.
(Emphasis added.)
On 20 September 2005, Michael Bain, who was driving the GMC van with the consent of David Bain, collided with Kevin Ray Bellow, who was driving a dump truck owned by his employer, the Koury Corporation. Michael Bain was significantly injured in the accident and filed a personal injury lawsuit against Bellow and Koury on 5 December 2005. In connection with that action, Michael Bain retained an engineering expert, Dr. Rolin F. Barrett, Sr., who began working on the case on 23 November 2005, before suit was filed. Dr. Barrett performed a site inspection of the intersection where the accident occurred and examined the vehicles involved on 12 January 2006.
On 6 February 2006, Bellow and Koury filed an answer, including a counterclaim for property damage to the dumptruck. Unitrin received notice of the counterclaim on 2 March 2006, and on 9 March 2006, Unitrin acknowledged that it had a duty to defend the counterclaim under the policy. The same day, Unitrin retained Joseph Brotherton to defend the counterclaim.
Dr. Barrett’s deposition was taken in the underlying action on 9 May 2007. He testified that, in his opinion, based on the ordinary reaction times for drivers, the vehicles involved, the road conditions at the time of the accident, and the likely speed of the vehicles when they collided, Michael Bain could not have avoided the accident. Mr. Brotherton attended that deposition, and asked Dr. Barrett the following questions:
Q. Dr. Barrett, I didn’t hire you to do anything in this case, did I?
A. That’s correct. You did not.
Q. And you’ve described to us in some detail the work you’ve done, the measurements you’ve taken, and that sort of thing and- — and that is reflected by the documents — some of the documents contained in Exhibit 1, correct?
A. Yes.
*401Q. All right. Now — and—and you have formed some opinions and you have told us about all of the opinions that you have formed thus far?
A. Correct.
Q. Without you doing any further work, if — if you were asked the question that were to put the facts that you’re aware of and the knowledge that you have to looking at it from a little different angle, you could form other opinions without doing any further work that you have not formed as of today?
A. That’s certainly possible.
MR. BROTHERTON: Okay. Thank you.
No transcript of the trial proceedings in the underlying action was filed with this Court. It is undisputed by the parties, however, that Michael Bain’s privately-retained counsel, Amiel Rossabi, tried the majority of the case. Mr. Brotherton did not participate in the jury selection, opening statements, or in examining or cross-examining any witnesses. Mr. Brotherton did, however, give a closing argument. The record on appeal contains no transcript or detailed description of that closing argument. Michael Bain submitted an affidavit, stating that, while he did not recall everything that Mr. Brotherton argued, he did remember that Mr. Brotherton “argued, among other things, that Dr. Barrett’s opinions should be adopted and he did not in any way disavow Dr. Barrett’s testimony.”
On 3 August 2007, the jury returned a verdict finding that Michael Bain was not injured by the negligence of Bellow, and that Bellow and Koury were not injured by the negligence of Michael Bain. Dr. Barrett’s invoices for providing expert services in the case totaled $20,966.28. Unitrin has refused to pay any portion of these expenses.
Plaintiffs filed this action on 7 November 2008 against Unitrin and Insurance Associates of the Triad, Inc., seeking recovery of the expenses associated with Dr. Barrett. Plaintiffs voluntarily dismissed the claim against Insurance Associates on 22 June 2009. On 14 September 2009, the trial court granted summary judgment to Unitrin. Plaintiffs timely appealed to this Court.
Discussion
[1] The parties agree that the insurance policy in this case obligated Unitrin to defend Michael Bain against the counterclaim asserted by *402Koury and Bellow in the underlying action and to pay for costs incurred by Unitrin in that defense. The question presented by this action is what constitutes a defense cost for which an insurer is liable under its duty to defend.
Usually, this issue arises when an insured has been sued and then also asserts a counterclaim. For example, in Duke University v. St. Paul Mercury Insurance Co., 95 N.C. App. 663, 665, 384 S.E.2d 36, 37-38 (1989), Duke University sued its general liability insurer, St. Paul, to recover attorneys’ fees Duke incurred as a defendant in another lawsuit in which Duke had asserted counterclaims. The trial court concluded that Duke could only recover the portion of the fees incurred that were reasonable and necessary for defending matters covered by the St. Paul policy. Id. at 668, 384 S.E.2d at 39. Duke was not entitled to recover fees incurred in the prosecution of its counterclaims. Id.
On appeal, this Court affirmed, explaining that “ ‘[a]n insurer, being obligated only to defend claims brought “against” the insured, is not required to bear the cost of prosecuting a counterclaim on behalf of the insured.’ ” Id. at 680, 384 S.E.2d at 46 (quoting A. Windt, Insurance Claims and Disputes § 4.39 (1982)). The Court adopted the following commentary as “the correct rule”:
“An insurer, being obligated only to defend claims brought ‘against’ the insured, is not required to bear the cost of prosecuting a counterclaim on behalf of the insured. Because of the compulsory counterclaim rule, however, the insurer should not be allowed to direct the counsel that it hires on behalf of the insured to ignore the existence of counterclaims. The assumption of the insured’s defense necessarily entails an obligation not to conduct the defense in a manner that will prejudice the insured’s rights. Failure to advise the insured of the existence of a counterclaim that, if not asserted, will be lost should constitute a breach of that obligation.
As a practical matter, therefore, when hiring defense counsel, the insurer should advise counsel that it will not bear the costs of prosecuting a counterclaim, but it should not attempt to limit the attorney in connection either with investigating and evaluating possible counterclaims or with giving the insured advice with respect to such claims. If it does, it should be deemed to have breached its duty to defend and, assuming the insured had a meritorious compulsory counterclaim that was lost *403as a result of the insurer’s action, the insurer should be liable for the value of the barred claim.”
Id. at 679-80, 384 S.E.2d at 46 (emphasis added) (quoting A. Windt, supra § 4.39).
Here, there can be no question that Unitrin was not liable for the costs of prosecuting Michael Bain’s claims against Koury and Bellow. Further, Unitrin could not interfere with Michael Bain’s privately-retained counsel’s investigation and prosecution of those affirmative claims. Unitrin could not, therefore, limit Michael Bain’s decision to incur expenses, including expert witness fees, that he and his privately-retained counsel deemed reasonable and necessary for pursuing his claims for relief.
The question remains, however, whether plaintiffs have presented any basis for considering the expert fees “defense costs.” Unitrin’s policy provided: “[W]e will pay all defense costs we incur.” In construing this same language our Supreme Court held that “ ‘[d]efense costs’ refer to costs associated with the process of defending a claim such as attorney fees, deposition expenses, and court costs including such items as subpoena and witness fees.” Sproles v. Greene, 329 N.C. 603, 611, 407 S.E.2d 497, 502 (1991). The issue is, therefore, whether Dr. Barrett’s expenses were a cost associated with the process of defending the property damage counterclaim.
In support of its motion for summary judgment, Unitrin points to the fact that Dr. Barrett was hired prior to the filing of the underlying action by counsel whom Michael Bain had privately retained to represent him in connection with his personal injury claims. Mr. Brotherton, the attorney Unitrin hired to defend Michael Bain in connection with the property damage counterclaim, stated in his affidavit: “[A]t no time during my representation of David Michael Bain in the defense of the counterclaim was I consulted about hiring Dr. Rolin Barrett, Sr. as an expert witness to defend the counterclaim pending against David Michael Bain.”
With respect to the need for an expert witness to defend the property damage counterclaim, Mr. Brotherton stated: “[I]n my representation of David Michael Bain in the defense of the counterclaim pending against him, I would not have hired an expert to help defend against the counterclaim.” He explained that it was his opinion that he could have successfully defended the counterclaim without Dr. Barrett’s testimony.
*404According to Mr. Brotherton, he never set up a meeting to discuss the case with Dr. Barrett, and the first time he met with him was at his deposition. Mr. Brotherton attended the deposition, but only briefly questioned Dr. Barrett. He asked, “Dr. Barrett, I didn’t hire you to do anything in this case, did I?” Dr. Barrett responded, “That’s correct. You did not.” According to Mr. Brotherton, at trial, he did not elicit “any testimony from Dr. Rolin Barrett, Sr. with respect to his findings in this matter.”
In arguing that Dr. Barrett’s expenses were a defense cost incurred by Unitrin, plaintiffs did not submit any evidence that disputed Mr. Brotherton’s affidavit. Specifically, they do not dispute that Dr. Barrett was retained prior to the existence of the counterclaim for the purpose of serving as an expert witness in support of Michael Bain’s personal injury claims and that Mr. Brotherton was not consulted regarding whether Dr. Barrett should be used in conjunction with the defense of Koury’s property damage claim. They also have presented no evidence that expert testimony was reasonably necessary to defend the counterclaim.
Instead, plaintiffs first argue that Unitrin never explicitly stated that it believed Dr. Barrett’s assistance was unnecessary for the counterclaim. Mr. Brotherton’s question at Dr. Barrett’s deposition did precisely that, however.
Plaintiffs also argue that because Mr. Brotherton allowed the privately-retained counsel to control the action and took no active steps to control the defense of the counterclaim, Unitrin intentionally relinquished or waived control of the defense of the counterclaim and cannot now assert that Dr. Barrett’s testimony was unnecessary to the counterclaim. Plaintiffs cite no North Carolina authority or any authority at all involving similar circumstances to support this position.1 Because this action was originally filed as a personal injury claim against Koury and its employee, and Unitrin’s duty to defend *405only arose upon the filing of Koury’s counterclaim for property damage to its truck, we see no basis for concluding that Unitrin’s attorney, by allowing the privately-retained attorney to continue to take the lead in the action, waived the right to argue that certain expenses primarily related to the affirmative claims were not necessary to defend the counterclaim.
The defense mounted should be in proportion to the claim. If the insurer insisted on taking the lead in the action, then we would have the tail (the smaller value property damage claim) wagging the dog (the personal injury claims) and a risk of the insured claiming that the insurer had violated the “rule” set out in Duke University prohibiting the insurer from interfering with the prosecution of the affirmative claims. The consequence, under Duke University, could be a determination that the insurer had breached its duty to defend and, if the retained attorney’s actions caused the insured to lose his affirmative claims, that the insurer was liable for the value of those claims. 95 N.C. App. at 680, 384 S.E.2d at 46. We decline to hold, under the circumstances of this case, that Unitrin’s actions waived any argument that Dr. Barrett’s testimony was not necessary to the defense of the counterclaim.
Plaintiffs next contend that Dr. Barrett’s testimony was associated with the defense of the counterclaim because (1) Mr. Brotherton attended Dr. Barrett’s deposition, (2) Dr. Barrett’s trial testimony had the effect of supporting the defense of the counterclaim, and (3) Mr. Brotherton “incorporated and adopted the testimony and opinions of Dr. Barrett” in his closing argument. Mere attendance at the deposition cannot be deemed use of Dr. Barrett’s testimony in defense of the counterclaim when plaintiffs have presented no evidence that Mr. Brotherton participated in that deposition other than to establish that he had not retained Dr. Barrett to assist with the defense of the counterclaim.
With respect to the trial testimony, plaintiffs appear to acknowledge that the mere fact that evidence supported Mr. Brotherton’s position on the counterclaim was not sufficient to establish that *406Unitrin incurred the cost without also a showing that Mr. Brotherton used the testimony in the defense. In opposition to Unitrin’s motion for summary judgment, plaintiffs submitted the affidavit of Michael Bain. He acknowledged in that affidavit that Mr. Brotherton did not participate in examining or cross-examining any of the witnesses, which would include Dr. Barrett.2 In support of their contention that Mr. Brotherton did rely upon Dr. Barrett at trial, plaintiffs point to Michael Bain’s assertion that Mr. Brotherton relied upon the testimony in his closing argument: “While I do not recall everything Mr. Brotherton said during his closing argument during the trial, Mr. Brotherton argued, among other things, that Dr. Barrett’s opinions should be adopted and he did not in any way disavow Dr. Barrett’s testimony.”
On appeal, plaintiffs properly do not argue that the failure to disavow the testimony gave rise to a duty to pay for it. Such a disavowal would likely constitute a breach of the duty to defend. Plaintiffs do, however, expand upon Mr. Bain’s statement and argue not just that Mr. Brotherton argued “that Dr. Barrett’s opinions should be adopted” by the jury, but that Mr. Brotherton “incorporated and adopted the testimony and opinions of Dr. Barrett.” The sole support for this argument is the single statement included in Mr. Bain’s affidavit.
We cannot tell from Mr. Bain’s affidavit what Mr. Brotherton actually said about Dr. Barrett or his opinions. At best, the affidavit indicates that Mr. Brotherton argued to the jurors that they should find Dr. Barrett’s testimony credible. The affidavit does not necessarily go as far as plaintiffs’ brief. The record, however, contains nothing more specific. Plaintiffs did not submit a transcript of Mr. Brotherton’s closing argument; there is no deposition or other discovery asking Mr. Brotherton to summarize or describe his closing argument. While the record contains the transcript of Dr. Barrett’s deposition in the underlying action, plaintiffs have not provided us with his trial testimony or other evidence of what he said at trial, so we cannot know precisely what opinions Mr. Brotherton urged the jury to adopt. Without being able to read Dr. Barrett’s trial testimony and Mr. Brotherton’s closing arguments, we have no way of determining to *407what extent Unitrin relied upon or used Dr. Barrett’s services in the defense of the counterclaim and, therefore, cannot determine whether those services should count as a defense cost for which Unitrin is responsible.
In sum, plaintiffs seek to hold Unitrin liable for expert witness fees for an expert plaintiffs retained to support Michael Bain’s claims for personal injury. The undisputed evidence is that the expert witness was hired prior to the existence of the counterclaim giving rise to Unitrin’s duty to defend; the counterclaim was only for property damage to a truck; Unitrin’s retained counsel was never consulted about using the expert witness; Unitrin’s retained counsel did not believe it was necessary to have ah expert witness to defend the property damage claim; Unitrin’s retained counsel believed that he could prevail on the property damage claim in the absence of expert testimony; Unitrin’s retained counsel did not participate in the deposition of the expert witness other than to establish that counsel had not hired the witness to assist on the counterclaim; and Unitrin’s retained counsel did not question the expert witness at trial.
The sole evidence offered by plaintiffs in support of their claim that the expert witness expenses were associated with the defense of the claim for property damage to the truck is that Unitrin’s retained counsel made some unspecified statement that the jury should adopt the expert witness’ opinions. We hold that the reference in Mr. Bain’s affidavit, standing alone, is insufficient evidence that Mr. Brotherton used Dr. Barrett’s testimony in a manner that effectively made it a defense cost incurred by Unitrin.
[2] Alternatively, plaintiffs contend that Unitrin is equitably estopped from claiming that Dr. Barrett’s services are not a defense cost. “Equitable estoppel arises when one party, by his acts, representations, or silence when he should speak, intentionally, or through culpable negligence, induces a person to believe certain facts exist, and that person reasonably relies on and acts on those beliefs to his detriment.” Gore v. Myrtle/Mueller, 362 N.C. 27, 33, 653 S.E.2d 400, 405 (2007).
In Duke University, 95 N.C. App. at 672, 384 S.E.2d at 42, this Court held that in the absence of evidence that Duke University (the insured) had relied on conduct by its insurer indicating it would pay for some, if not all, of Duke’s legal defense, the insurer was not equitably estopped from pleading the statute of limitations. The Court explained that “ ‘[i]n order to warrant the application of the doctrine *408of estoppel, it must be shown that the conduct of the party against whom waiver of the . . . limitation is claimed is such as to cause the adverse party to change his position by lulling him into false security, and causing him to delay or waive assertion of his rights to his damage.’ ” Id. at 672-73, 384 S.E.2d at 42 (quoting 18A Rhodes, Couch on Insurance 2d § 75:183, at 177 (1983)).
In this case, plaintiffs have failed to demonstrate that they relied upon any statement or conduct of Unitrin or Mr. Brotherton. Plaintiffs hired Dr. Barrett in connection with Michael Bain’s lawsuit against Koury and Bellow well before the filing of the counterclaim and before Unitrin had any duty to defend. Indeed, Dr. Barrett had completed his actual investigation before the counterclaim was filed and Unitrin became involved in the case. Plaintiffs have pointed to no evidence that they were lulled by Unitrin into a false sense of security in connection with the expenses being incurred with respect to Dr. Barrett. They have not shown that they would have acted any differently with respect to Dr. Barrett if Unitrin or Mr. Brotherton had expressly stated that Unitrin would not reimburse plaintiffs for expert witness fees incurred.
Moreover, at Dr. Barrett’s deposition, Mr. Brotherton confirmed on the record that he had not retained Dr. Barrett for any purpose. Any reliance after that date would not have been reasonable. We, therefore, hold that plaintiffs have not presented sufficient evidence of the elements of equitable estoppel to survive a motion for summary judgment.
[3] Finally, plaintiffs argue that Unitrin was unjustly enriched by receiving the benefit of Dr. Barrett’s services without having to pay for them. It is well settled, however, that a claim for unjust enrichment is “a claim in quasi contract or a contract implied in law” and, therefore, “[i]f there is a contract between the parties the contract governs the claim and the law will not imply a contract.” Booe v. Shadrick, 322 N.C. 567, 570, 369 S.E.2d 554, 556 (1988). See also Atl. & E. Carolina Ry. Co. v. Wheatly Oil Co., 163 N.C. App. 748, 753, 594 S.E.2d 425, 429 (“The doctrine of unjust enrichment is based on ‘quasi-contract’ or contract ‘implied in law’ and thus will not apply here where a contract exists between two parties.”), disc. review denied, 358 N.C. 542, 599 S.E.2d 38 (2004); Delta Envtl. Consultants of N.C., Inc. v. Wysong & Miles Co., 132 N.C. App. 160, 165, 510 S.E.2d 690, 694 (reversing trial court’s decision to allow unjust enrichment claim on grounds that two contracts “govern[ed] the relationship *409between the parties with regard to payment and services rendered” and, therefore, “an action for breach of contract, rather than unjust enrichment, is the proper cause of action”), disc. review denied, 350 N.C. 379, 536 S.E.2d 70 (1999).
Here, the parties’ relationship, including Unitrin’s liability for any costs of the action under its duty to defend, was governed by the Unitrin insurance policy. Since a contract exists between the parties governing the claim, no claim for unjust enrichment can arise. Accordingly, the trial court properly granted summary judgment as to this claim as well.
Affirmed.
Judges ROBERT C. HUNTER and STEPHENS concur.