diff --git a/pkg/migrate/cstor/volume.go b/pkg/migrate/cstor/volume.go
index 10e3f59a..0d0e39b3 100644
--- a/pkg/migrate/cstor/volume.go
+++ b/pkg/migrate/cstor/volume.go
@@ -525,7 +525,6 @@ func (v *VolumeMigrator) patchTargetSVCOwnerRef() error {
 // resources a temporary storageclass is created before deleting the original
 func (v *VolumeMigrator) updateStorageClass(pvName, scName string) error {
 	var tmpSCObj *storagev1.StorageClass
-	klog.Infof("Updating storageclass %s with csi parameters", scName)
 	scObj, err := v.KubeClientset.StorageV1().
 		StorageClasses().
 		Get(scName, metav1.GetOptions{})
@@ -534,11 +533,19 @@ func (v *VolumeMigrator) updateStorageClass(pvName, scName string) error {
 			return err
 		}
 	}
+	required, err := isSCMigrationRequired(v, scName)
+	if !required {
+		return err
+	}
 	if scObj == nil || scObj.Provisioner != cstorCSIDriver {
 		tmpSCObj, err = v.createTmpSC(scName)
 		if err != nil {
+			if k8serrors.IsAlreadyExists(err) {
+				return nil
+			}
 			return err
 		}
+		klog.Infof("Updating storageclass %s with csi parameters", scName)
 		replicaCount, err := v.getReplicaCount(pvName)
 		if err != nil {
 			return err
@@ -553,6 +560,7 @@ func (v *VolumeMigrator) updateStorageClass(pvName, scName string) error {
 			Annotations: tmpSCObj.Annotations,
 			Labels:      tmpSCObj.Labels,
 		}
+		delete(csiSC.Annotations, "pv-name")
 		csiSC.Provisioner = cstorCSIDriver
 		csiSC.AllowVolumeExpansion = &trueBool
 		csiSC.Parameters = map[string]string{
@@ -587,6 +595,26 @@ func (v *VolumeMigrator) updateStorageClass(pvName, scName string) error {
 	return nil
 }
 
+// While running multiple volume migration in parallel there can be
+// a race condition to update a common storageclass  used to provisioned all
+// of the volumes. This check makes sure that only one migration job which
+// was able to create the temporary storageclass will update the storageclass
+// and other jobs will skip this step.
+func isSCMigrationRequired(v *VolumeMigrator, scName string) (bool, error) {
+	tmpSC, err := v.KubeClientset.StorageV1().StorageClasses().
+		Get("tmp-migrate-"+scName, metav1.GetOptions{})
+	if err != nil {
+		if k8serrors.IsNotFound(err) {
+			return true, nil
+		}
+		return false, err
+	}
+	if tmpSC.Annotations["pv-name"] != v.PVName {
+		return false, nil
+	}
+	return true, nil
+}
+
 func (v *VolumeMigrator) createTmpSC(scName string) (*storagev1.StorageClass, error) {
 	tmpSCName := "tmp-migrate-" + scName
 	tmpSCObj, err := v.KubeClientset.StorageV1().
@@ -606,9 +634,13 @@ func (v *VolumeMigrator) createTmpSC(scName string) (*storagev1.StorageClass, er
 			Annotations: scObj.Annotations,
 			Labels:      scObj.Labels,
 		}
+		tmpSCObj.Annotations["pv-name"] = v.PVName
 		tmpSCObj, err = v.KubeClientset.StorageV1().
 			StorageClasses().Create(tmpSCObj)
 		if err != nil {
+			if k8serrors.IsAlreadyExists(err) {
+				return nil, err
+			}
 			return nil, errors.Wrapf(err, "failed to create temporary storageclass")
 		}
 	}