diff --git a/zmq/eventloop/zmqstream.py b/zmq/eventloop/zmqstream.py
index 4108e056a..20c1866e1 100644
--- a/zmq/eventloop/zmqstream.py
+++ b/zmq/eventloop/zmqstream.py
@@ -614,6 +614,19 @@ def _handle_events(self, fd, events):
             zmq_events = self.socket.EVENTS
         except zmq.ContextTerminated:
             gen_log.warning("Got events for stream %s after terminating context", self)
+            # trigger close check, this will unregister callbacks
+            self.closed()
+            return
+        except zmq.ZMQError as e:
+            # run close check
+            # shadow sockets may have been closed elsewhere,
+            # which should show up as ENOTSOCK here
+            if self.closed():
+                gen_log.warning(
+                    "Got events for stream %s attached to closed socket: %s", self, e
+                )
+            else:
+                gen_log.error("Error getting events for %s: %s", self, e)
             return
         try:
             # dispatch events:
diff --git a/zmq/tests/test_zmqstream.py b/zmq/tests/test_zmqstream.py
index e45193fb0..39d7d4962 100644
--- a/zmq/tests/test_zmqstream.py
+++ b/zmq/tests/test_zmqstream.py
@@ -4,6 +4,7 @@
 
 import asyncio
 import logging
+import warnings
 
 import pytest
 
@@ -130,3 +131,29 @@ async def test_shadow_socket(context):
         assert type(stream.socket) is zmq.Socket
         assert stream.socket.underlying == socket.underlying
         stream.close()
+
+
+async def test_shadow_socket_close(context, caplog):
+    with context.socket(zmq.PUSH) as push, context.socket(zmq.PULL) as pull:
+        push.linger = pull.linger = 0
+        port = push.bind_to_random_port('tcp://127.0.0.1')
+        pull.connect(f'tcp://127.0.0.1:{port}')
+        shadow_pull = zmq.Socket.shadow(pull)
+        stream = zmqstream.ZMQStream(shadow_pull)
+        # send some messages
+        for i in range(10):
+            push.send_string(str(i))
+        # make sure at least one message has been delivered
+        pull.recv()
+        # register callback
+        # this should schedule event callback on the next tick
+        stream.on_recv(print)
+        # close the shadowed socket
+        pull.close()
+    # run the event loop, which should see some events on the shadow socket
+    # but the socket has been closed!
+    with warnings.catch_warnings(record=True) as records:
+        await asyncio.sleep(0.2)
+    warning_text = "\n".join(str(r.message) for r in records)
+    assert "after closing socket" in warning_text
+    assert "closed socket" in caplog.text