diff --git a/storage/bucket.go b/storage/bucket.go
index 89a2347b511..bfcddd5aa3f 100644
--- a/storage/bucket.go
+++ b/storage/bucket.go
@@ -378,23 +378,29 @@ const (
 	// not set in a call to GCS.
 	PublicAccessPreventionUnknown PublicAccessPrevention = iota
 
-	// PublicAccessPreventionUnspecified corresponds to a value of "unspecified"
-	// and is the default for buckets.
+	// PublicAccessPreventionUnspecified corresponds to a value of "unspecified".
+	// Deprecated: use PublicAccessPreventionInherited
 	PublicAccessPreventionUnspecified
 
 	// PublicAccessPreventionEnforced corresponds to a value of "enforced". This
 	// enforces Public Access Prevention on the bucket.
 	PublicAccessPreventionEnforced
 
-	publicAccessPreventionUnknown     string = ""
-	publicAccessPreventionUnspecified        = "unspecified"
-	publicAccessPreventionEnforced           = "enforced"
+	// PublicAccessPreventionInherited corresponds to a value of "inherited"
+	// and is the default for buckets.
+	PublicAccessPreventionInherited
+
+	publicAccessPreventionUnknown string = ""
+	// TODO: remove unspecified when change is fully completed
+	publicAccessPreventionUnspecified = "unspecified"
+	publicAccessPreventionEnforced    = "enforced"
+	publicAccessPreventionInherited   = "inherited"
 )
 
 func (p PublicAccessPrevention) String() string {
 	switch p {
-	case PublicAccessPreventionUnspecified:
-		return publicAccessPreventionUnspecified
+	case PublicAccessPreventionInherited, PublicAccessPreventionUnspecified:
+		return publicAccessPreventionInherited
 	case PublicAccessPreventionEnforced:
 		return publicAccessPreventionEnforced
 	default:
@@ -1214,8 +1220,8 @@ func toPublicAccessPrevention(b *raw.BucketIamConfiguration) PublicAccessPrevent
 		return PublicAccessPreventionUnknown
 	}
 	switch b.PublicAccessPrevention {
-	case publicAccessPreventionUnspecified:
-		return PublicAccessPreventionUnspecified
+	case publicAccessPreventionInherited, publicAccessPreventionUnspecified:
+		return PublicAccessPreventionInherited
 	case publicAccessPreventionEnforced:
 		return PublicAccessPreventionEnforced
 	default:
diff --git a/storage/bucket_test.go b/storage/bucket_test.go
index 3919853e731..0e65e8becdf 100644
--- a/storage/bucket_test.go
+++ b/storage/bucket_test.go
@@ -257,11 +257,22 @@ func TestBucketAttrsToRawBucket(t *testing.T) {
 	}
 
 	// Test that setting PublicAccessPrevention to "unspecified" leads to the
-	// setting being propagated in the proto.
+	// inherited setting being propagated in the proto.
 	attrs.PublicAccessPrevention = PublicAccessPreventionUnspecified
 	got = attrs.toRawBucket()
 	want.IamConfiguration = &raw.BucketIamConfiguration{
-		PublicAccessPrevention: "unspecified",
+		PublicAccessPrevention: "inherited",
+	}
+	if msg := testutil.Diff(got, want); msg != "" {
+		t.Errorf(msg)
+	}
+
+	// Test that setting PublicAccessPrevention to "inherited" leads to the
+	// setting being propagated in the proto.
+	attrs.PublicAccessPrevention = PublicAccessPreventionInherited
+	got = attrs.toRawBucket()
+	want.IamConfiguration = &raw.BucketIamConfiguration{
+		PublicAccessPrevention: "inherited",
 	}
 	if msg := testutil.Diff(got, want); msg != "" {
 		t.Errorf(msg)
@@ -274,7 +285,7 @@ func TestBucketAttrsToRawBucket(t *testing.T) {
 		UniformBucketLevelAccess: &raw.BucketIamConfigurationUniformBucketLevelAccess{
 			Enabled: true,
 		},
-		PublicAccessPrevention: "unspecified",
+		PublicAccessPrevention: "inherited",
 	}
 	if msg := testutil.Diff(got, want); msg != "" {
 		t.Errorf(msg)
diff --git a/storage/integration_test.go b/storage/integration_test.go
index 45f56ee4039..a32b2e0375b 100644
--- a/storage/integration_test.go
+++ b/storage/integration_test.go
@@ -645,15 +645,14 @@ func TestIntegration_PublicAccessPrevention(t *testing.T) {
 	if err := a.Set(ctx, AllUsers, RoleReader); err == nil {
 		t.Error("ACL.Set: expected adding AllUsers ACL to object should fail")
 	}
-	t.Skip("https://github.com/googleapis/google-cloud-go/issues/4890")
 
-	// Update PAP setting to unspecified should work and not affect UBLA setting.
-	attrs, err := bkt.Update(ctx, BucketAttrsToUpdate{PublicAccessPrevention: PublicAccessPreventionUnspecified})
+	// Update PAP setting to inherited should work and not affect UBLA setting.
+	attrs, err := bkt.Update(ctx, BucketAttrsToUpdate{PublicAccessPrevention: PublicAccessPreventionInherited})
 	if err != nil {
 		t.Fatalf("updating PublicAccessPrevention failed: %v", err)
 	}
-	if attrs.PublicAccessPrevention != PublicAccessPreventionUnspecified {
-		t.Errorf("updating PublicAccessPrevention: got %s, want %s", attrs.PublicAccessPrevention, PublicAccessPreventionUnspecified)
+	if attrs.PublicAccessPrevention != PublicAccessPreventionInherited {
+		t.Errorf("updating PublicAccessPrevention: got %s, want %s", attrs.PublicAccessPrevention, PublicAccessPreventionInherited)
 	}
 	if attrs.UniformBucketLevelAccess.Enabled || attrs.BucketPolicyOnly.Enabled {
 		t.Error("updating PublicAccessPrevention changed UBLA setting")
@@ -689,8 +688,8 @@ func TestIntegration_PublicAccessPrevention(t *testing.T) {
 	if !attrs.UniformBucketLevelAccess.Enabled {
 		t.Error("updating UBLA: got UBLA not enabled, want enabled")
 	}
-	if attrs.PublicAccessPrevention != PublicAccessPreventionUnspecified {
-		t.Errorf("updating UBLA: got %s, want %s", attrs.PublicAccessPrevention, PublicAccessPreventionUnspecified)
+	if attrs.PublicAccessPrevention != PublicAccessPreventionInherited {
+		t.Errorf("updating UBLA: got %s, want %s", attrs.PublicAccessPrevention, PublicAccessPreventionInherited)
 	}
 }