diff --git a/tests/test_connection.py b/tests/test_connection.py
index 2a6da83..1a9c1f2 100644
--- a/tests/test_connection.py
+++ b/tests/test_connection.py
@@ -732,6 +732,27 @@ async def handler(request):
             await client_ws.send_message('Hello from client!')
 
 
+async def test_server_sends_after_close(nursery):
+    done = trio.Event()
+
+    async def handler(request):
+        server_ws = await request.accept()
+        with pytest.raises(ConnectionClosed):
+            while True:
+                await server_ws.send_message('Hello from server')
+        done.set()
+
+    server = await nursery.start(serve_websocket, handler, HOST, 0, None)
+    stream = await trio.open_tcp_stream(HOST, server.port)
+    client_ws = await wrap_client_stream(nursery, stream, HOST, RESOURCE)
+    async with client_ws:
+        # pump a few messages
+        for x in range(2):
+            await client_ws.send_message('Hello from client')
+        await stream.aclose()
+    await done.wait()
+
+
 async def test_server_does_not_close_handshake(nursery):
     async def handler(stream):
         request = await wrap_server_stream(nursery, stream)
diff --git a/trio_websocket/_impl.py b/trio_websocket/_impl.py
index 53b5ae4..bd63b3c 100644
--- a/trio_websocket/_impl.py
+++ b/trio_websocket/_impl.py
@@ -1069,7 +1069,7 @@ async def _handle_message_event(self, event):
             self._message_parts = []
             try:
                 await self._send_channel.send(msg)
-            except trio.BrokenResourceError:
+            except (trio.ClosedResourceError, trio.BrokenResourceError):
                 # The receive channel is closed, probably because somebody
                 # called ``aclose()``. We don't want to abort the reader task,
                 # and there's no useful cleanup that we can do here.