diff --git a/ipykernel/inprocess/socket.py b/ipykernel/inprocess/socket.py
index 5a2e0008..d14d0850 100644
--- a/ipykernel/inprocess/socket.py
+++ b/ipykernel/inprocess/socket.py
@@ -65,4 +65,8 @@ async def poll(self, timeout=0):
         return statistics.current_buffer_used != 0
 
     def close(self):
-        pass
+        if self.is_shell:
+            self.in_send_stream.close()
+            self.in_receive_stream.close()
+            self.out_send_stream.close()
+            self.out_receive_stream.close()
diff --git a/ipykernel/iostream.py b/ipykernel/iostream.py
index 19334212..6f09cc4b 100644
--- a/ipykernel/iostream.py
+++ b/ipykernel/iostream.py
@@ -24,6 +24,8 @@
 from anyio import create_task_group, run, sleep, to_thread
 from jupyter_client.session import extract_header
 
+from .thread import BaseThread
+
 # -----------------------------------------------------------------------------
 # Globals
 # -----------------------------------------------------------------------------
@@ -38,38 +40,6 @@
 # -----------------------------------------------------------------------------
 
 
-class _IOPubThread(Thread):
-    """A thread for a IOPub."""
-
-    def __init__(self, tasks, **kwargs):
-        """Initialize the thread."""
-        super().__init__(name="IOPub", **kwargs)
-        self._tasks = tasks
-        self.pydev_do_not_trace = True
-        self.is_pydev_daemon_thread = True
-        self.daemon = True
-        self.__stop = Event()
-
-    def run(self):
-        """Run the thread."""
-        self.name = "IOPub"
-        run(self._main)
-
-    async def _main(self):
-        async with create_task_group() as self._task_group:
-            for task in self._tasks:
-                self._task_group.start_soon(task)
-            await to_thread.run_sync(self.__stop.wait)
-            self._task_group.cancel_scope.cancel()
-
-    def stop(self):
-        """Stop the thread.
-
-        This method is threadsafe.
-        """
-        self.__stop.set()
-
-
 class IOPubThread:
     """An object for sending IOPub messages in a background thread
 
@@ -109,7 +79,9 @@ def __init__(self, socket: zmq_anyio.Socket, pipe=False):
         tasks = [self._handle_event, self._run_event_pipe_gc, self.socket.start]
         if pipe:
             tasks.append(self._handle_pipe_msgs)
-        self.thread = _IOPubThread(tasks)
+        self.thread = BaseThread(name="IOPub", daemon=True)
+        for task in tasks:
+            self.thread.start_soon(task)
 
     def _setup_event_pipe(self):
         """Create the PULL socket listening for events that should fire in this thread."""
@@ -179,7 +151,7 @@ async def _handle_event(self):
                         event_f = self._events.popleft()
                         event_f()
             except Exception:
-                if self.thread.__stop.is_set():
+                if self.thread.stopped.is_set():
                     return
                 raise
 
@@ -211,7 +183,7 @@ async def _handle_pipe_msgs(self):
                 while True:
                     await self._handle_pipe_msg()
             except Exception:
-                if self.thread.__stop.is_set():
+                if self.thread.stopped.is_set():
                     return
                 raise
 
diff --git a/ipykernel/thread.py b/ipykernel/thread.py
index df8fa412..4c9edf86 100644
--- a/ipykernel/thread.py
+++ b/ipykernel/thread.py
@@ -3,7 +3,7 @@
 
 from collections.abc import Awaitable
 from queue import Queue
-from threading import Thread
+from threading import Event, Thread
 from typing import Callable
 
 from anyio import create_task_group, run, to_thread
@@ -18,6 +18,8 @@ class BaseThread(Thread):
     def __init__(self, **kwargs):
         """Initialize the thread."""
         super().__init__(**kwargs)
+        self.started = Event()
+        self.stopped = Event()
         self.pydev_do_not_trace = True
         self.is_pydev_daemon_thread = True
         self._tasks: Queue[Callable[[], Awaitable[None]] | None] = Queue()
@@ -31,6 +33,7 @@ def run(self) -> None:
 
     async def _main(self) -> None:
         async with create_task_group() as tg:
+            self.started.set()
             while True:
                 task = await to_thread.run_sync(self._tasks.get)
                 if task is None:
@@ -44,3 +47,4 @@ def stop(self) -> None:
         This method is threadsafe.
         """
         self._tasks.put(None)
+        self.stopped.set()