diff --git a/pkg/apis/apps/types.go b/pkg/apis/apps/types.go
index 65ca4f62abb..3036a8f12af 100644
--- a/pkg/apis/apps/types.go
+++ b/pkg/apis/apps/types.go
@@ -59,7 +59,7 @@ const (
 	// ParallelPodManagement will create and delete pods as soon as the stateful set
 	// replica count is changed, and will not wait for pods to be ready or complete
 	// termination.
-	ParallelPodManagement = "Parallel"
+	ParallelPodManagement PodManagementPolicyType = "Parallel"
 )
 
 // StatefulSetUpdateStrategy indicates the strategy that the StatefulSet
diff --git a/staging/src/k8s.io/api/apps/v1/types.go b/staging/src/k8s.io/api/apps/v1/types.go
index 68ac55bf17a..2fe85745812 100644
--- a/staging/src/k8s.io/api/apps/v1/types.go
+++ b/staging/src/k8s.io/api/apps/v1/types.go
@@ -69,7 +69,7 @@ const (
 	// ParallelPodManagement will create and delete pods as soon as the stateful set
 	// replica count is changed, and will not wait for pods to be ready or complete
 	// termination.
-	ParallelPodManagement = "Parallel"
+	ParallelPodManagement PodManagementPolicyType = "Parallel"
 )
 
 // StatefulSetUpdateStrategy indicates the strategy that the StatefulSet
diff --git a/staging/src/k8s.io/api/apps/v1beta1/types.go b/staging/src/k8s.io/api/apps/v1beta1/types.go
index 326902fd0f8..73f12d3d5d6 100644
--- a/staging/src/k8s.io/api/apps/v1beta1/types.go
+++ b/staging/src/k8s.io/api/apps/v1beta1/types.go
@@ -111,7 +111,7 @@ const (
 	// ParallelPodManagement will create and delete pods as soon as the stateful set
 	// replica count is changed, and will not wait for pods to be ready or complete
 	// termination.
-	ParallelPodManagement = "Parallel"
+	ParallelPodManagement PodManagementPolicyType = "Parallel"
 )
 
 // StatefulSetUpdateStrategy indicates the strategy that the StatefulSet
diff --git a/staging/src/k8s.io/api/apps/v1beta2/types.go b/staging/src/k8s.io/api/apps/v1beta2/types.go
index e75589adc54..77a085a1d6c 100644
--- a/staging/src/k8s.io/api/apps/v1beta2/types.go
+++ b/staging/src/k8s.io/api/apps/v1beta2/types.go
@@ -115,7 +115,7 @@ const (
 	// ParallelPodManagement will create and delete pods as soon as the stateful set
 	// replica count is changed, and will not wait for pods to be ready or complete
 	// termination.
-	ParallelPodManagement = "Parallel"
+	ParallelPodManagement PodManagementPolicyType = "Parallel"
 )
 
 // StatefulSetUpdateStrategy indicates the strategy that the StatefulSet