diff --git a/quic/core/http/quic_spdy_session_test.cc b/quic/core/http/quic_spdy_session_test.cc
index 35aa1c7..2042f88 100644
--- a/quic/core/http/quic_spdy_session_test.cc
+++ b/quic/core/http/quic_spdy_session_test.cc
@@ -1741,6 +1741,9 @@
 }
 
 TEST_P(QuicSpdySessionTestClient, WritePriority) {
+  if (VersionHasStreamType(transport_version())) {
+    return;
+  }
   TestHeadersStream* headers_stream;
   QuicSpdySessionPeer::SetHeadersStream(&session_, nullptr);
   headers_stream = new TestHeadersStream(&session_);