diff --git a/distributed/core.py b/distributed/core.py
index dc5f7733fe..3d792844cd 100644
--- a/distributed/core.py
+++ b/distributed/core.py
@@ -16,7 +16,6 @@
 import weakref
 from collections import defaultdict, deque
 from collections.abc import (
-    Awaitable,
     Callable,
     Container,
     Coroutine,
@@ -560,33 +559,18 @@ def start_periodic_callbacks(self):
             if not pc.is_running():
                 pc.start()
 
-    def _stop_listeners(self) -> asyncio.Future:
-        listeners_to_stop: set[Awaitable] = set()
-
+    def _stop_listeners(self) -> None:
         for listener in self.listeners:
-            future = listener.stop()
-            if inspect.isawaitable(future):
-                warnings.warn(
-                    f"{type(listener)} is using an asynchronous `stop` method. "
-                    "Support for asynchronous `Listener.stop` has been deprecated and "
-                    "will be removed in a future version",
-                    DeprecationWarning,
-                )
-                listeners_to_stop.add(future)
-            elif hasattr(listener, "abort_handshaking_comms"):
+            listener.stop()
+            if hasattr(listener, "abort_handshaking_comms"):
                 listener.abort_handshaking_comms()
 
-        return asyncio.gather(*listeners_to_stop)
-
     def stop(self) -> None:
         if self.__stopped:
             return
         self.__stopped = True
         self.monitor.close()
-        if not (stop_listeners := self._stop_listeners()).done():
-            self._ongoing_background_tasks.call_soon(
-                asyncio.wait_for(stop_listeners, timeout=None)  # type: ignore[arg-type]
-            )
+        self._stop_listeners()
         if self._workdir is not None:
             self._workdir.release()
 
@@ -935,7 +919,7 @@ async def close(self, timeout: float | None = None, reason: str = "") -> None:
 
             self.__stopped = True
             self.monitor.close()
-            await self._stop_listeners()
+            self._stop_listeners()
 
             # TODO: Deal with exceptions
             await self._ongoing_background_tasks.stop()
diff --git a/distributed/tests/test_core.py b/distributed/tests/test_core.py
index 78768f4bdd..73ee0f28ba 100644
--- a/distributed/tests/test_core.py
+++ b/distributed/tests/test_core.py
@@ -9,6 +9,7 @@
 import sys
 import threading
 import weakref
+from contextlib import asynccontextmanager
 from unittest import mock
 
 import pytest
@@ -16,10 +17,11 @@
 
 import dask
 
+from distributed import core
 from distributed.batched import BatchedSend
 from distributed.comm.core import CommClosedError, FatalCommClosedError
 from distributed.comm.registry import backends
-from distributed.comm.tcp import TCPBackend, TCPListener
+from distributed.comm.tcp import TCPBackend, TCPConnector
 from distributed.core import (
     ConnectionPool,
     RPCClosed,
@@ -171,13 +173,11 @@ class MyServer(Server):
     default_port = 8756
 
 
-@pytest.mark.slow
 @gen_test()
 async def test_server_listen():
     """
     Test various Server.listen() arguments and their effect.
     """
-    import socket
 
     try:
         EXTERNAL_IP4 = get_ip()
@@ -186,8 +186,6 @@ async def test_server_listen():
     except socket.gaierror:
         pytest.skip("no network access")
 
-    from contextlib import asynccontextmanager
-
     @asynccontextmanager
     async def listen_on(cls, *args, **kwargs):
         server = cls({})
@@ -631,8 +629,6 @@ async def test_connection_pool_close_while_connecting(monkeypatch):
     Ensure a closed connection pool guarantees to have no connections left open
     even if it is closed mid-connecting
     """
-    from distributed.comm.registry import backends
-    from distributed.comm.tcp import TCPBackend, TCPConnector
 
     class SlowConnector(TCPConnector):
         async def connect(self, address, deserialize, **connection_args):
@@ -672,8 +668,6 @@ async def connect_to_server():
 @gen_test()
 async def test_connection_pool_outside_cancellation(monkeypatch):
     # Ensure cancellation errors are properly reraised
-    from distributed.comm.registry import backends
-    from distributed.comm.tcp import TCPBackend, TCPConnector
 
     class SlowConnector(TCPConnector):
         async def connect(self, address, deserialize, **connection_args):
@@ -707,11 +701,9 @@ async def connect_to_server():
         assert all(t.cancelled() for t in tasks)
 
 
+@pytest.mark.slow
 @gen_test()
 async def test_connection_pool_catch_all_cancellederrors(monkeypatch):
-    from distributed.comm.registry import backends
-    from distributed.comm.tcp import TCPBackend, TCPConnector
-
     in_connect = asyncio.Event()
     block_connect = asyncio.Event()
 
@@ -922,7 +914,6 @@ async def test_ticks(s, a, b):
 @gen_cluster(config={"distributed.admin.tick.interval": "20 ms"})
 async def test_tick_logging(s, a, b):
     pytest.importorskip("crick")
-    from distributed import core
 
     old = core.tick_maximum_delay
     core.tick_maximum_delay = 0.001
@@ -1289,25 +1280,6 @@ def stream_not_leading_position(self, other, stream): ...
     assert not _expects_comm(instance.stream_not_leading_position)
 
 
-class AsyncStopTCPListener(TCPListener):
-    async def stop(self):
-        await asyncio.sleep(0)
-        super().stop()
-
-
-class TCPAsyncListenerBackend(TCPBackend):
-    _listener_class = AsyncStopTCPListener
-
-
-@gen_test()
-async def test_async_listener_stop(monkeypatch):
-    monkeypatch.setitem(backends, "tcp", TCPAsyncListenerBackend())
-    with pytest.warns(DeprecationWarning):
-        async with Server({}) as s:
-            await s.listen(0)
-            assert s.listeners
-
-
 @gen_test()
 async def test_messages_are_ordered_bsend():
     ledger = []
diff --git a/distributed/worker.py b/distributed/worker.py
index 79f24b22da..0c55a83aac 100644
--- a/distributed/worker.py
+++ b/distributed/worker.py
@@ -1620,7 +1620,7 @@ async def close(  # type: ignore
                         # otherwise
                         c.close()
 
-        await self._stop_listeners()
+        self._stop_listeners()
         await self.rpc.close()
 
         # Give some time for a UCX scheduler to complete closing endpoints