diff --git a/tests/migration_test.go b/tests/migration_test.go
index cbe1f1996c3a..cc6a9a918e88 100644
--- a/tests/migration_test.go
+++ b/tests/migration_test.go
@@ -373,7 +373,57 @@ var _ = Describe("Migrations", func() {
 
 				By("Waiting for VMI to disappear")
 				tests.WaitForVirtualMachineToDisappearWithTimeout(vmi, 240)
+			})
+		})
+		Context("with an Cirros non-shared ISCSI PVC", func() {
+			var pvName string
+			BeforeEach(func() {
+				pvName = "test-iscsi-lun" + rand.String(48)
+				// Start a ISCSI POD and service
+				By("Starting an iSCSI POD")
+				iscsiIP := tests.CreateISCSITargetPOD(tests.ContainerDiskCirros)
+				// create a new PV and PVC (PVs can't be reused)
+				By("create a new iSCSI PV and PVC")
+				tests.NewISCSIPvAndPvc(pvName, "1Gi", iscsiIP, k8sv1.ReadWriteOnce)
+			}, 60)
+
+			AfterEach(func() {
+				// create a new PV and PVC (PVs can't be reused)
+				tests.DeletePvAndPvc(pvName)
+			}, 60)
+			It("should reject migrations for a non-migratable vmi", func() {
+				// Start the VirtualMachineInstance with the PVC attached
+				vmi := tests.NewRandomVMIWithPVC(pvName)
+				tests.AddUserData(vmi, "cloud-init", "#!/bin/bash\necho 'hello'\n")
+				vmi.Spec.Hostname = fmt.Sprintf("%s", tests.ContainerDiskCirros)
+				vmi = runVMIAndExpectLaunch(vmi, 180)
 
+				By("Checking that the VirtualMachineInstance console has expected output")
+				expecter, err := tests.LoggedInCirrosExpecter(vmi)
+				Expect(err).To(BeNil())
+				expecter.Close()
+
+				for _, c := range vmi.Status.Conditions {
+					if c.Type == v1.VirtualMachineInstanceIsMigratable {
+						Expect(c.Status).To(Equal(k8sv1.ConditionFalse))
+					}
+				}
+
+				// execute a migration, wait for finalized state
+				migration := tests.NewRandomMigration(vmi.Name, vmi.Namespace)
+
+				By("Starting a Migration")
+				_, err = virtClient.VirtualMachineInstanceMigration(migration.Namespace).Create(migration)
+				Expect(err).ToNot(BeNil())
+				Expect(err.Error()).To(ContainSubstring("DisksNotLiveMigratable"))
+
+				// delete VMI
+				By("Deleting the VMI")
+				err = virtClient.VirtualMachineInstance(vmi.Namespace).Delete(vmi.Name, &metav1.DeleteOptions{})
+				Expect(err).To(BeNil())
+
+				By("Waiting for VMI to disappear")
+				tests.WaitForVirtualMachineToDisappearWithTimeout(vmi, 120)
 			})
 		})
 	})
diff --git a/tests/utils.go b/tests/utils.go
index 85653be8a4c2..08fbff4f5f21 100644
--- a/tests/utils.go
+++ b/tests/utils.go
@@ -2686,21 +2686,25 @@ func CreateISCSITargetPOD(containerDiskName ContainerDisk) (iscsiTargetIP string
 }
 
 func CreateISCSIPvAndPvc(name string, size string, iscsiTargetIP string) {
+	accessMode := k8sv1.ReadWriteMany
+	NewISCSIPvAndPvc(name, size, iscsiTargetIP, accessMode)
+}
+func NewISCSIPvAndPvc(name string, size string, iscsiTargetIP string, accessMode k8sv1.PersistentVolumeAccessMode) {
 	virtCli, err := kubecli.GetKubevirtClient()
 	PanicOnError(err)
 
-	_, err = virtCli.CoreV1().PersistentVolumes().Create(newISCSIPV(name, size, iscsiTargetIP))
+	_, err = virtCli.CoreV1().PersistentVolumes().Create(newISCSIPV(name, size, iscsiTargetIP, accessMode))
 	if !errors.IsAlreadyExists(err) {
 		PanicOnError(err)
 	}
 
-	_, err = virtCli.CoreV1().PersistentVolumeClaims(NamespaceTestDefault).Create(newISCSIPVC(name, size))
+	_, err = virtCli.CoreV1().PersistentVolumeClaims(NamespaceTestDefault).Create(newISCSIPVC(name, size, accessMode))
 	if !errors.IsAlreadyExists(err) {
 		PanicOnError(err)
 	}
 }
 
-func newISCSIPV(name string, size string, iscsiTargetIP string) *k8sv1.PersistentVolume {
+func newISCSIPV(name string, size string, iscsiTargetIP string, accessMode k8sv1.PersistentVolumeAccessMode) *k8sv1.PersistentVolume {
 	quantity, err := resource.ParseQuantity(size)
 	PanicOnError(err)
 
@@ -2712,7 +2716,7 @@ func newISCSIPV(name string, size string, iscsiTargetIP string) *k8sv1.Persisten
 			Name: name,
 		},
 		Spec: k8sv1.PersistentVolumeSpec{
-			AccessModes: []k8sv1.PersistentVolumeAccessMode{k8sv1.ReadWriteMany},
+			AccessModes: []k8sv1.PersistentVolumeAccessMode{accessMode},
 			Capacity: k8sv1.ResourceList{
 				"storage": quantity,
 			},
@@ -2734,7 +2738,7 @@ func newISCSIPV(name string, size string, iscsiTargetIP string) *k8sv1.Persisten
 	}
 }
 
-func newISCSIPVC(name string, size string) *k8sv1.PersistentVolumeClaim {
+func newISCSIPVC(name string, size string, accessMode k8sv1.PersistentVolumeAccessMode) *k8sv1.PersistentVolumeClaim {
 	quantity, err := resource.ParseQuantity(size)
 	PanicOnError(err)
 
@@ -2744,7 +2748,7 @@ func newISCSIPVC(name string, size string) *k8sv1.PersistentVolumeClaim {
 	return &k8sv1.PersistentVolumeClaim{
 		ObjectMeta: metav1.ObjectMeta{Name: name},
 		Spec: k8sv1.PersistentVolumeClaimSpec{
-			AccessModes: []k8sv1.PersistentVolumeAccessMode{k8sv1.ReadWriteMany},
+			AccessModes: []k8sv1.PersistentVolumeAccessMode{accessMode},
 			Resources: k8sv1.ResourceRequirements{
 				Requests: k8sv1.ResourceList{
 					"storage": quantity,