diff --git a/staging/src/k8s.io/apiextensions-apiserver/test/integration/BUILD b/staging/src/k8s.io/apiextensions-apiserver/test/integration/BUILD
index 599d26d0128..20bcfa4cb76 100644
--- a/staging/src/k8s.io/apiextensions-apiserver/test/integration/BUILD
+++ b/staging/src/k8s.io/apiextensions-apiserver/test/integration/BUILD
@@ -31,6 +31,7 @@ go_test(
         "//staging/src/k8s.io/apiextensions-apiserver/pkg/client/clientset/clientset:go_default_library",
         "//staging/src/k8s.io/apiextensions-apiserver/pkg/client/clientset/clientset/scheme:go_default_library",
         "//staging/src/k8s.io/apiextensions-apiserver/pkg/cmd/server/options:go_default_library",
+        "//staging/src/k8s.io/apiextensions-apiserver/pkg/features:go_default_library",
         "//staging/src/k8s.io/apiextensions-apiserver/test/integration/fixtures:go_default_library",
         "//staging/src/k8s.io/apimachinery/pkg/api/errors:go_default_library",
         "//staging/src/k8s.io/apimachinery/pkg/api/meta:go_default_library",
diff --git a/staging/src/k8s.io/apiextensions-apiserver/test/integration/conversion/BUILD b/staging/src/k8s.io/apiextensions-apiserver/test/integration/conversion/BUILD
index a53a94c5b9c..4468e4bff43 100644
--- a/staging/src/k8s.io/apiextensions-apiserver/test/integration/conversion/BUILD
+++ b/staging/src/k8s.io/apiextensions-apiserver/test/integration/conversion/BUILD
@@ -11,6 +11,7 @@ go_test(
         "//staging/src/k8s.io/apiextensions-apiserver/pkg/apis/apiextensions/v1beta1:go_default_library",
         "//staging/src/k8s.io/apiextensions-apiserver/pkg/client/clientset/clientset:go_default_library",
         "//staging/src/k8s.io/apiextensions-apiserver/pkg/cmd/server/options:go_default_library",
+        "//staging/src/k8s.io/apiextensions-apiserver/pkg/features:go_default_library",
         "//staging/src/k8s.io/apiextensions-apiserver/test/integration/fixtures:go_default_library",
         "//staging/src/k8s.io/apiextensions-apiserver/test/integration/storage:go_default_library",
         "//staging/src/k8s.io/apimachinery/pkg/api/errors:go_default_library",
@@ -23,7 +24,9 @@ go_test(
         "//staging/src/k8s.io/apimachinery/pkg/util/uuid:go_default_library",
         "//staging/src/k8s.io/apimachinery/pkg/util/wait:go_default_library",
         "//staging/src/k8s.io/apiserver/pkg/storage/etcd3:go_default_library",
+        "//staging/src/k8s.io/apiserver/pkg/util/feature:go_default_library",
         "//staging/src/k8s.io/client-go/dynamic:go_default_library",
+        "//staging/src/k8s.io/component-base/featuregate/testing:go_default_library",
         "//vendor/github.com/google/go-cmp/cmp:go_default_library",
         "//vendor/k8s.io/utils/pointer:go_default_library",
     ],
diff --git a/staging/src/k8s.io/apiextensions-apiserver/test/integration/conversion/conversion_test.go b/staging/src/k8s.io/apiextensions-apiserver/test/integration/conversion/conversion_test.go
index 8c8d0eb3c43..520757a155e 100644
--- a/staging/src/k8s.io/apiextensions-apiserver/test/integration/conversion/conversion_test.go
+++ b/staging/src/k8s.io/apiextensions-apiserver/test/integration/conversion/conversion_test.go
@@ -27,11 +27,6 @@ import (
 	"time"
 
 	"github.com/google/go-cmp/cmp"
-	apiextensionsfeatures "k8s.io/apiextensions-apiserver/pkg/features"
-
-	utilfeature "k8s.io/apiserver/pkg/util/feature"
-
-	featuregatetesting "k8s.io/component-base/featuregate/testing"
 
 	"k8s.io/apimachinery/pkg/api/errors"
 	metav1 "k8s.io/apimachinery/pkg/apis/meta/v1"
@@ -43,13 +38,16 @@ import (
 	"k8s.io/apimachinery/pkg/util/uuid"
 	"k8s.io/apimachinery/pkg/util/wait"
 	etcd3watcher "k8s.io/apiserver/pkg/storage/etcd3"
+	utilfeature "k8s.io/apiserver/pkg/util/feature"
 	"k8s.io/client-go/dynamic"
+	featuregatetesting "k8s.io/component-base/featuregate/testing"
 	"k8s.io/utils/pointer"
 
 	apiextensionsv1beta1 "k8s.io/apiextensions-apiserver/pkg/apis/apiextensions/v1beta1"
 	"k8s.io/apiextensions-apiserver/pkg/client/clientset/clientset"
 	"k8s.io/apiextensions-apiserver/pkg/cmd/server/options"
 	serveroptions "k8s.io/apiextensions-apiserver/pkg/cmd/server/options"
+	apiextensionsfeatures "k8s.io/apiextensions-apiserver/pkg/features"
 	"k8s.io/apiextensions-apiserver/test/integration/fixtures"
 	"k8s.io/apiextensions-apiserver/test/integration/storage"
 )
@@ -61,18 +59,14 @@ func checks(checkers ...Checker) []Checker {
 }
 
 func TestWebhookConverter(t *testing.T) {
-	testWebhookConverter(t, false, false)
-}
-
-func TestWebhookConverterWithPruning(t *testing.T) {
-	testWebhookConverter(t, true, false)
+	testWebhookConverter(t, false)
 }
 
 func TestWebhookConverterWithDefaulting(t *testing.T) {
-	testWebhookConverter(t, true, true)
+	testWebhookConverter(t, true)
 }
 
-func testWebhookConverter(t *testing.T, pruning, defaulting bool) {
+func testWebhookConverter(t *testing.T, defaulting bool) {
 	tests := []struct {
 		group   string
 		handler http.Handler
@@ -140,7 +134,6 @@ func testWebhookConverter(t *testing.T, pruning, defaulting bool) {
 	defer tearDown()
 
 	crd := multiVersionFixture.DeepCopy()
-	crd.Spec.PreserveUnknownFields = pointer.BoolPtr(!pruning)
 
 	if !defaulting {
 		for i := range crd.Spec.Versions {
@@ -995,7 +988,8 @@ var multiVersionFixture = &apiextensionsv1beta1.CustomResourceDefinition{
 			ListKind:   "MultiVersionList",
 			Categories: []string{"all"},
 		},
-		Scope: apiextensionsv1beta1.NamespaceScoped,
+		Scope:                 apiextensionsv1beta1.NamespaceScoped,
+		PreserveUnknownFields: pointer.BoolPtr(false),
 		Versions: []apiextensionsv1beta1.CustomResourceDefinitionVersion{
 			{
 				// storage version, same schema as v1alpha1
diff --git a/test/e2e/apimachinery/crd_conversion_webhook.go b/test/e2e/apimachinery/crd_conversion_webhook.go
index 6cabd2b5207..3a378ba7103 100644
--- a/test/e2e/apimachinery/crd_conversion_webhook.go
+++ b/test/e2e/apimachinery/crd_conversion_webhook.go
@@ -61,11 +61,28 @@ var apiVersions = []v1beta1.CustomResourceDefinitionVersion{
 		Name:    "v1",
 		Served:  true,
 		Storage: true,
+		Schema: &v1beta1.CustomResourceValidation{
+			OpenAPIV3Schema: &v1beta1.JSONSchemaProps{
+				Type: "object",
+				Properties: map[string]v1beta1.JSONSchemaProps{
+					"hostPort": {Type: "string"},
+				},
+			},
+		},
 	},
 	{
 		Name:    "v2",
 		Served:  true,
 		Storage: false,
+		Schema: &v1beta1.CustomResourceValidation{
+			OpenAPIV3Schema: &v1beta1.JSONSchemaProps{
+				Type: "object",
+				Properties: map[string]v1beta1.JSONSchemaProps{
+					"host": {Type: "string"},
+					"port": {Type: "string"},
+				},
+			},
+		},
 	},
 }
 
@@ -74,11 +91,28 @@ var alternativeAPIVersions = []v1beta1.CustomResourceDefinitionVersion{
 		Name:    "v1",
 		Served:  true,
 		Storage: false,
+		Schema: &v1beta1.CustomResourceValidation{
+			OpenAPIV3Schema: &v1beta1.JSONSchemaProps{
+				Type: "object",
+				Properties: map[string]v1beta1.JSONSchemaProps{
+					"hostPort": {Type: "string"},
+				},
+			},
+		},
 	},
 	{
 		Name:    "v2",
 		Served:  true,
 		Storage: true,
+		Schema: &v1beta1.CustomResourceValidation{
+			OpenAPIV3Schema: &v1beta1.JSONSchemaProps{
+				Type: "object",
+				Properties: map[string]v1beta1.JSONSchemaProps{
+					"host": {Type: "string"},
+					"port": {Type: "string"},
+				},
+			},
+		},
 	},
 }
 
@@ -122,6 +156,7 @@ var _ = SIGDescribe("CustomResourceConversionWebhook", func() {
 					},
 				},
 			}
+			crd.Spec.PreserveUnknownFields = pointer.BoolPtr(false)
 		})
 		if err != nil {
 			return
@@ -145,6 +180,7 @@ var _ = SIGDescribe("CustomResourceConversionWebhook", func() {
 					},
 				},
 			}
+			crd.Spec.PreserveUnknownFields = pointer.BoolPtr(false)
 		})
 		if err != nil {
 			return