diff --git a/cmd/webhook/main.go b/cmd/webhook/main.go
index 71d3e8135fc..a1c4e021e28 100644
--- a/cmd/webhook/main.go
+++ b/cmd/webhook/main.go
@@ -23,6 +23,8 @@ import (
 	"os"
 
 	defaultconfig "github.com/tektoncd/pipeline/pkg/apis/config"
+	"github.com/tektoncd/pipeline/pkg/apis/pipeline"
+	v1 "github.com/tektoncd/pipeline/pkg/apis/pipeline/v1"
 	"github.com/tektoncd/pipeline/pkg/apis/pipeline/v1alpha1"
 	"github.com/tektoncd/pipeline/pkg/apis/pipeline/v1beta1"
 	resourcev1alpha1 "github.com/tektoncd/pipeline/pkg/apis/resource/v1alpha1"
@@ -54,6 +56,8 @@ var types = map[schema.GroupVersionKind]resourcesemantics.GenericCRD{
 	v1beta1.SchemeGroupVersion.WithKind("ClusterTask"): &v1beta1.ClusterTask{},
 	v1beta1.SchemeGroupVersion.WithKind("TaskRun"):     &v1beta1.TaskRun{},
 	v1beta1.SchemeGroupVersion.WithKind("PipelineRun"): &v1beta1.PipelineRun{},
+	// v1
+	v1.SchemeGroupVersion.WithKind("Pipeline"): &v1.Pipeline{},
 }
 
 func newDefaultingAdmissionController(ctx context.Context, cmw configmap.Watcher) *controller.Impl {
@@ -131,7 +135,16 @@ func newConversionController(ctx context.Context, cmw configmap.Watcher) *contro
 		"/resource-conversion",
 
 		// Specify the types of custom resource definitions that should be converted
-		map[schema.GroupKind]conversion.GroupKindConversion{},
+		map[schema.GroupKind]conversion.GroupKindConversion{
+			v1.Kind("Pipeline"): {
+				DefinitionName: pipeline.TaskResource.String(),
+				HubVersion:     v1beta1GroupVersion,
+				Zygotes: map[string]conversion.ConvertibleObject{
+					v1beta1GroupVersion: &v1beta1.Pipeline{},
+					v1GroupVersion:      &v1.Pipeline{},
+				},
+			},
+		},
 
 		// A function that infuses the context passed to ConvertTo/ConvertFrom/SetDefaults with custom metadata
 		func(ctx context.Context) context.Context {
diff --git a/config/300-pipeline.yaml b/config/300-pipeline.yaml
index a7798c2330e..bb151297d54 100644
--- a/config/300-pipeline.yaml
+++ b/config/300-pipeline.yaml
@@ -32,6 +32,20 @@ spec:
     # starts to increment
     subresources:
       status: {}
+      schema:
+      openAPIV3Schema:
+        type: object
+        # One can use x-kubernetes-preserve-unknown-fields: true
+        # at the root of the schema (and inside any properties, additionalProperties)
+        # to get the traditional CRD behaviour that nothing is pruned, despite
+        # setting spec.preserveUnknownProperties: false.
+        #
+        # See https://kubernetes.io/blog/2019/06/20/crd-structural-schema/
+        # See issue: https://github.com/knative/serving/issues/912
+        x-kubernetes-preserve-unknown-fields: true
+  - name: v1
+    served: false
+    storage: false
     schema:
       openAPIV3Schema:
         type: object
@@ -43,6 +57,10 @@ spec:
         # See https://kubernetes.io/blog/2019/06/20/crd-structural-schema/
         # See issue: https://github.com/knative/serving/issues/912
         x-kubernetes-preserve-unknown-fields: true
+    # Opt into the status subresource so metadata.generation
+    # starts to increment
+    subresources:
+      status: {}
   names:
     kind: Pipeline
     plural: pipelines
@@ -54,7 +72,7 @@ spec:
   conversion:
     strategy: Webhook
     webhook:
-      conversionReviewVersions: ["v1beta1"]
+      conversionReviewVersions: ["v1beta1", "v1"]
       clientConfig:
         service:
           name: tekton-pipelines-webhook