diff --git a/vertical-pod-autoscaler/e2e/v1/common.go b/vertical-pod-autoscaler/e2e/v1/common.go
index 6ce493c9a8b..a554a2a864e 100644
--- a/vertical-pod-autoscaler/e2e/v1/common.go
+++ b/vertical-pod-autoscaler/e2e/v1/common.go
@@ -352,6 +352,14 @@ func PatchVpaRecommendation(f *framework.Framework, vpa *vpa_types.VerticalPodAu
 	gomega.Expect(err).NotTo(gomega.HaveOccurred(), "Failed to patch VPA.")
 }
 
+// PatchDeployment patches a deployment with a given patch.
+func PatchDeployment(f *framework.Framework, deployment *appsv1.Deployment, patch *patchRecord) {
+	patchBytes, err := json.Marshal([]patchRecord{*patch})
+	gomega.Expect(err).NotTo(gomega.HaveOccurred())
+	_, err = f.ClientSet.AppsV1().Deployments(f.Namespace.Name).Patch(context.TODO(), deployment.Name, types.JSONPatchType, patchBytes, metav1.PatchOptions{})
+	gomega.Expect(err).NotTo(gomega.HaveOccurred(), "unexpected error patching deployment")
+}
+
 // AnnotatePod adds annotation for an existing pod.
 func AnnotatePod(f *framework.Framework, podName, annotationName, annotationValue string) {
 	bytes, err := json.Marshal([]patchRecord{{
diff --git a/vertical-pod-autoscaler/e2e/v1/recommender.go b/vertical-pod-autoscaler/e2e/v1/recommender.go
index 8f171f33f5d..01267f5e82b 100644
--- a/vertical-pod-autoscaler/e2e/v1/recommender.go
+++ b/vertical-pod-autoscaler/e2e/v1/recommender.go
@@ -411,6 +411,103 @@ var _ = RecommenderE2eDescribe("VPA CRD object", func() {
 	})
 })
 
+const recommendationLoopInterval = 1 * time.Minute
+
+var _ = RecommenderE2eDescribe("VPA CRD object", func() {
+	f := framework.NewDefaultFramework("vertical-pod-autoscaling")
+	f.NamespacePodSecurityEnforceLevel = podsecurity.LevelBaseline
+
+	var vpaClientSet vpa_clientset.Interface
+
+	ginkgo.BeforeEach(func() {
+		vpaClientSet = getVpaClientSet(f)
+	})
+
+	ginkgo.It("only provides recommendation to containers that exist when renaming a container", func() {
+		ginkgo.By("Setting up a hamster deployment")
+		d := NewNHamstersDeployment(f, 1 /*number of containers*/)
+		_ = startDeploymentPods(f, d)
+
+		ginkgo.By("Setting up VPA CRD")
+		vpaCRD := test.VerticalPodAutoscaler().
+			WithName("hamster-vpa").
+			WithNamespace(f.Namespace.Name).
+			WithTargetRef(hamsterTargetRef).
+			WithContainer("*").
+			Get()
+
+		InstallVPA(f, vpaCRD)
+
+		ginkgo.By("Waiting for recommendation to be filled for the container")
+		vpa, err := WaitForRecommendationPresent(vpaClientSet, vpaCRD)
+		gomega.Expect(err).NotTo(gomega.HaveOccurred())
+		gomega.Expect(vpa.Status.Recommendation.ContainerRecommendations).Should(gomega.HaveLen(1))
+		gomega.Expect(vpa.Status.Recommendation.ContainerRecommendations[0].ContainerName).To(gomega.Equal(GetHamsterContainerNameByIndex(0)))
+
+		ginkgo.By("Renaming the container")
+		newContainerName := "renamed-container"
+		patchRecord := &patchRecord{
+			Op:    "replace",
+			Path:  "/spec/template/spec/containers/0/name",
+			Value: newContainerName,
+		}
+		gomega.Expect(err).NotTo(gomega.HaveOccurred())
+		PatchDeployment(f, d, patchRecord)
+
+		ginkgo.By("Waiting for recommendation to be filled for the renamed container and only the renamed container")
+		time.Sleep(recommendationLoopInterval)
+		vpa, err = WaitForRecommendationPresent(vpaClientSet, vpaCRD)
+
+		gomega.Expect(err).NotTo(gomega.HaveOccurred())
+		errMsg := fmt.Sprintf("%s is the only container in the VPA CR. There should not be any recommendations for %s",
+			newContainerName,
+			GetHamsterContainerNameByIndex(0))
+		gomega.Expect(vpa.Status.Recommendation.ContainerRecommendations).Should(gomega.HaveLen(1), errMsg)
+		gomega.Expect(vpa.Status.Recommendation.ContainerRecommendations[0].ContainerName).To(gomega.Equal(newContainerName), errMsg)
+	})
+
+	ginkgo.It("only provides recommendation to containers that exist when removing a container", func() {
+		ginkgo.By("Setting up a hamster deployment")
+		d := NewNHamstersDeployment(f, 2 /*number of containers*/)
+		_ = startDeploymentPods(f, d)
+
+		ginkgo.By("Setting up VPA CRD")
+		vpaCRD := test.VerticalPodAutoscaler().
+			WithName("hamster-vpa").
+			WithNamespace(f.Namespace.Name).
+			WithTargetRef(hamsterTargetRef).
+			WithContainer("*").
+			Get()
+
+		InstallVPA(f, vpaCRD)
+
+		ginkgo.By("Waiting for recommendation to be filled for both containers")
+		vpa, err := WaitForRecommendationPresent(vpaClientSet, vpaCRD)
+		gomega.Expect(err).NotTo(gomega.HaveOccurred())
+		gomega.Expect(vpa.Status.Recommendation.ContainerRecommendations).Should(gomega.HaveLen(2))
+
+		ginkgo.By("Removing the second container")
+		patchRecord := &patchRecord{
+			Op:   "remove",
+			Path: "/spec/template/spec/containers/0",
+		}
+		gomega.Expect(err).NotTo(gomega.HaveOccurred())
+		PatchDeployment(f, d, patchRecord)
+
+		ginkgo.By("Waiting for recommendation to be filled for just one container")
+		time.Sleep(recommendationLoopInterval)
+		vpa, err = WaitForRecommendationPresent(vpaClientSet, vpaCRD)
+
+		gomega.Expect(err).NotTo(gomega.HaveOccurred())
+		errMsg := fmt.Sprintf("%s is now the only container in the VPA CR. There should not be any recommendations for %s",
+			GetHamsterContainerNameByIndex(0),
+			GetHamsterContainerNameByIndex(1))
+		gomega.Expect(vpa.Status.Recommendation.ContainerRecommendations).Should(gomega.HaveLen(1), errMsg)
+		gomega.Expect(vpa.Status.Recommendation.ContainerRecommendations[0].ContainerName).To(gomega.Equal(GetHamsterContainerNameByIndex(0)), errMsg)
+	})
+
+})
+
 func deleteRecommender(c clientset.Interface) error {
 	namespace := "kube-system"
 	listOptions := metav1.ListOptions{}