diff --git a/quic/core/http/end_to_end_test.cc b/quic/core/http/end_to_end_test.cc
index f5aa312..1e94413 100644
--- a/quic/core/http/end_to_end_test.cc
+++ b/quic/core/http/end_to_end_test.cc
@@ -6503,6 +6503,32 @@
   }));
 }
 
+TEST_P(EndToEndTest, WebTransportSession404) {
+  enable_web_transport_ = true;
+  ASSERT_TRUE(Initialize());
+
+  if (!version_.UsesHttp3()) {
+    return;
+  }
+
+  WebTransportHttp3* session = CreateWebTransportSession(
+      "/does-not-exist", /*wait_for_server_response=*/false);
+  ASSERT_TRUE(session != nullptr);
+  QuicSpdyStream* connect_stream = client_->latest_created_stream();
+  QuicStreamId connect_stream_id = connect_stream->id();
+
+  WebTransportStream* stream = session->OpenOutgoingBidirectionalStream();
+  ASSERT_TRUE(stream != nullptr);
+  EXPECT_TRUE(stream->Write("test"));
+  EXPECT_TRUE(stream->SendFin());
+
+  client_->WaitUntil(-1, [connect_stream]() {
+    return connect_stream->headers_decompressed();
+  });
+  EXPECT_TRUE(GetClientSession()->GetOrCreateSpdyDataStream(
+                  connect_stream_id) == nullptr);
+}
+
 }  // namespace
 }  // namespace test
 }  // namespace quic
diff --git a/quic/core/http/quic_spdy_client_stream.cc b/quic/core/http/quic_spdy_client_stream.cc
index 7f55fef..7391fdc 100644
--- a/quic/core/http/quic_spdy_client_stream.cc
+++ b/quic/core/http/quic_spdy_client_stream.cc
@@ -61,8 +61,13 @@
   if (web_transport() != nullptr) {
     web_transport()->HeadersReceived(response_headers_);
     if (!web_transport()->ready()) {
-      // Rejected due to status not being 200, or other reason.
-      WriteOrBufferData("", /*fin=*/true, nullptr);
+      // The request was rejected by WebTransport, typically due to not having a
+      // 2xx status.  The reason we're using Reset() here rather than closing
+      // cleanly is that even if the server attempts to send us any form of body
+      // with a 4xx request, we've already set up the capsule parser, and we
+      // don't have any way to process anything from the response body in
+      // question.
+      Reset(QUIC_STREAM_CANCELLED);
       return;
     }
   }