diff --git a/distributed/core.py b/distributed/core.py
index 8740320b38..6d80706570 100644
--- a/distributed/core.py
+++ b/distributed/core.py
@@ -1176,15 +1176,25 @@ async def _():
 
                         server._ongoing_background_tasks.call_soon(_)
 
+                    async def watch_comm():
+                        while True:
+                            if self._bcomm.comm.closed():
+                                fut.set_exception(CommClosedError)
+                                break
+                            await asyncio.sleep(0.1)
+
+                    t = asyncio.create_task(watch_comm())
+
                     def is_next():
                         return server._waiting_for[0] == sig
 
-                    async with server._ensure_order:
-                        await server._ensure_order.wait_for(is_next)
-                        try:
+                    try:
+                        async with server._ensure_order:
+                            await server._ensure_order.wait_for(is_next)
                             return await fut
-                        finally:
-                            server._waiting_for.popleft()
+                    finally:
+                        t.cancel()
+                        server._waiting_for.popleft()
 
                 return send_recv_from_rpc
 
diff --git a/distributed/tests/test_core.py b/distributed/tests/test_core.py
index 90e71eb26a..e5db1402dc 100644
--- a/distributed/tests/test_core.py
+++ b/distributed/tests/test_core.py
@@ -1544,3 +1544,40 @@ async def wait_to_unblock(error=False):
         async with rpc(s2.address) as r:
             assert not await r.do_work(other_addr=s1.address)
             assert await r.do_work(other_addr=s1.address, ordered=True)
+
+
+@pytest.mark.parametrize(
+    "use_side_channel",
+    [False, True],
+)
+@gen_test()
+async def test_ordered_rpc_comm_closed(use_side_channel):
+    async def sleep(duration):
+        await asyncio.sleep(duration)
+
+    class MyServer(Server):
+        def __init__(self, *args, **kwargs):
+            handlers = {
+                "sleep": sleep,
+                "do_work": self.do_work,
+                "kill": self.kill,
+            }
+            super().__init__(handlers, *args, **kwargs)
+
+        async def kill(self):
+            await self.close()
+
+        async def do_work(self, other_addr):
+            r = await self.ordered_rpc(other_addr, use_side_channel=use_side_channel)
+            t1 = asyncio.create_task(r.sleep(duration=100000))
+            with contextlib.suppress(OSError):
+                await self.rpc(other_addr).kill()
+            with pytest.raises(CommClosedError):
+                await t1
+            return True
+
+    async with MyServer() as s1, MyServer() as s2:
+        await s1.listen()
+        await s2.listen()
+        async with rpc(s2.address) as r:
+            assert await r.do_work(other_addr=s1.address)