diff --git a/pkg/apis/apps/types.go b/pkg/apis/apps/types.go
index dbf651567ea..2cb2777ce7d 100644
--- a/pkg/apis/apps/types.go
+++ b/pkg/apis/apps/types.go
@@ -81,13 +81,13 @@ const (
 	// ordering constraints. When a scale operation is performed with this
 	// strategy, new Pods will be created from the specification version indicated
 	// by the StatefulSet's updateRevision.
-	RollingUpdateStatefulSetStrategyType = "RollingUpdate"
+	RollingUpdateStatefulSetStrategyType StatefulSetUpdateStrategyType = "RollingUpdate"
 	// OnDeleteStatefulSetStrategyType triggers the legacy behavior. Version
 	// tracking and ordered rolling restarts are disabled. Pods are recreated
 	// from the StatefulSetSpec when they are manually deleted. When a scale
 	// operation is performed with this strategy,specification version indicated
 	// by the StatefulSet's currentRevision.
-	OnDeleteStatefulSetStrategyType = "OnDelete"
+	OnDeleteStatefulSetStrategyType StatefulSetUpdateStrategyType = "OnDelete"
 )
 
 // RollingUpdateStatefulSetStrategy is used to communicate parameter for RollingUpdateStatefulSetStrategyType.
diff --git a/staging/src/k8s.io/api/apps/v1/types.go b/staging/src/k8s.io/api/apps/v1/types.go
index 2fe85745812..67bda693d8a 100644
--- a/staging/src/k8s.io/api/apps/v1/types.go
+++ b/staging/src/k8s.io/api/apps/v1/types.go
@@ -95,13 +95,13 @@ const (
 	// ordering constraints. When a scale operation is performed with this
 	// strategy, new Pods will be created from the specification version indicated
 	// by the StatefulSet's updateRevision.
-	RollingUpdateStatefulSetStrategyType = "RollingUpdate"
+	RollingUpdateStatefulSetStrategyType StatefulSetUpdateStrategyType = "RollingUpdate"
 	// OnDeleteStatefulSetStrategyType triggers the legacy behavior. Version
 	// tracking and ordered rolling restarts are disabled. Pods are recreated
 	// from the StatefulSetSpec when they are manually deleted. When a scale
 	// operation is performed with this strategy,specification version indicated
 	// by the StatefulSet's currentRevision.
-	OnDeleteStatefulSetStrategyType = "OnDelete"
+	OnDeleteStatefulSetStrategyType StatefulSetUpdateStrategyType = "OnDelete"
 )
 
 // RollingUpdateStatefulSetStrategy is used to communicate parameter for RollingUpdateStatefulSetStrategyType.
diff --git a/staging/src/k8s.io/api/apps/v1beta1/types.go b/staging/src/k8s.io/api/apps/v1beta1/types.go
index cf6039df693..8f4d138376a 100644
--- a/staging/src/k8s.io/api/apps/v1beta1/types.go
+++ b/staging/src/k8s.io/api/apps/v1beta1/types.go
@@ -134,13 +134,13 @@ const (
 	// ordering constraints. When a scale operation is performed with this
 	// strategy, new Pods will be created from the specification version indicated
 	// by the StatefulSet's updateRevision.
-	RollingUpdateStatefulSetStrategyType = "RollingUpdate"
+	RollingUpdateStatefulSetStrategyType StatefulSetUpdateStrategyType = "RollingUpdate"
 	// OnDeleteStatefulSetStrategyType triggers the legacy behavior. Version
 	// tracking and ordered rolling restarts are disabled. Pods are recreated
 	// from the StatefulSetSpec when they are manually deleted. When a scale
 	// operation is performed with this strategy,specification version indicated
 	// by the StatefulSet's currentRevision.
-	OnDeleteStatefulSetStrategyType = "OnDelete"
+	OnDeleteStatefulSetStrategyType StatefulSetUpdateStrategyType = "OnDelete"
 )
 
 // RollingUpdateStatefulSetStrategy is used to communicate parameter for RollingUpdateStatefulSetStrategyType.
diff --git a/staging/src/k8s.io/api/apps/v1beta2/types.go b/staging/src/k8s.io/api/apps/v1beta2/types.go
index 39e07e278ae..d358455f0eb 100644
--- a/staging/src/k8s.io/api/apps/v1beta2/types.go
+++ b/staging/src/k8s.io/api/apps/v1beta2/types.go
@@ -141,13 +141,13 @@ const (
 	// ordering constraints. When a scale operation is performed with this
 	// strategy, new Pods will be created from the specification version indicated
 	// by the StatefulSet's updateRevision.
-	RollingUpdateStatefulSetStrategyType = "RollingUpdate"
+	RollingUpdateStatefulSetStrategyType StatefulSetUpdateStrategyType = "RollingUpdate"
 	// OnDeleteStatefulSetStrategyType triggers the legacy behavior. Version
 	// tracking and ordered rolling restarts are disabled. Pods are recreated
 	// from the StatefulSetSpec when they are manually deleted. When a scale
 	// operation is performed with this strategy,specification version indicated
 	// by the StatefulSet's currentRevision.
-	OnDeleteStatefulSetStrategyType = "OnDelete"
+	OnDeleteStatefulSetStrategyType StatefulSetUpdateStrategyType = "OnDelete"
 )
 
 // RollingUpdateStatefulSetStrategy is used to communicate parameter for RollingUpdateStatefulSetStrategyType.