diff --git a/clientconn_test.go b/clientconn_test.go
index ee159955..93e78a5a 100644
--- a/clientconn_test.go
+++ b/clientconn_test.go
@@ -97,6 +97,22 @@ func TestWithAuthority(t *testing.T) {
 	}
 }
 
+func TestWithAuthorityAndTLS(t *testing.T) {
+	overwriteServerName := "over.write.server.name"
+	creds, err := credentials.NewClientTLSFromFile(tlsDir+"ca.pem", overwriteServerName)
+	if err != nil {
+		t.Fatalf("Failed to create credentials %v", err)
+	}
+	conn, err := Dial("Non-Existent.Server:80", WithTransportCredentials(creds), WithAuthority("no.effect.authority"))
+	if err != nil {
+		t.Fatalf("Dial(_, _) = _, %v, want _, <nil>", err)
+	}
+	conn.Close()
+	if conn.authority != overwriteServerName {
+		t.Fatalf("%v.authority = %v, want %v", conn, conn.authority, overwriteServerName)
+	}
+}
+
 func TestDialContextCancel(t *testing.T) {
 	ctx, cancel := context.WithCancel(context.Background())
 	cancel()
diff --git a/transport/transport.go b/transport/transport.go
index 18d15f7e..caee54a8 100644
--- a/transport/transport.go
+++ b/transport/transport.go
@@ -374,7 +374,8 @@ func NewServerTransport(protocol string, conn net.Conn, config *ServerConfig) (S
 type ConnectOptions struct {
 	// UserAgent is the application user agent.
 	UserAgent string
-	// Authority is the :authority pseudo-header to use.
+	// Authority is the :authority pseudo-header to use. This field has no effect if
+	// TransportCredentials is set.
 	Authority string
 	// Dialer specifies how to dial a network address.
 	Dialer func(context.Context, string) (net.Conn, error)