diff --git a/ipykernel/kernelapp.py b/ipykernel/kernelapp.py
index 9413b86d6..5b91e5d93 100644
--- a/ipykernel/kernelapp.py
+++ b/ipykernel/kernelapp.py
@@ -608,6 +608,9 @@ def init_kernel(self):
         """Create the Kernel object itself"""
         if self.shell_channel_thread:
             shell_stream = ZMQStream(self.shell_socket, self.shell_channel_thread.io_loop)
+            # Hand the stream to the shell-channel thread so SubshellManager can re-arm
+            # the read after each out-of-band reply send (the wedge fix).
+            self.shell_channel_thread.shell_stream = shell_stream
         else:
             shell_stream = ZMQStream(self.shell_socket)
         control_stream = ZMQStream(self.control_socket, self.control_thread.io_loop)
diff --git a/ipykernel/shellchannel.py b/ipykernel/shellchannel.py
index 8205840d1..8425dab54 100644
--- a/ipykernel/shellchannel.py
+++ b/ipykernel/shellchannel.py
@@ -29,6 +29,10 @@ def __init__(
         self._manager: SubshellManager | None = None
         self._zmq_context = context  # Avoid use of self._context
         self._shell_socket = shell_socket
+        # Set by kernelapp.init_kernel after it builds the shell ZMQStream (this thread
+        # is created before the stream). Threaded into SubshellManager so it can re-arm
+        # the read after each out-of-band reply send (the wedge fix).
+        self.shell_stream = None
         # Record the parent thread - the thread that started the app (usually the main thread)
         self.parent_thread = current_thread()
 
@@ -43,6 +47,7 @@ def manager(self) -> SubshellManager:
                 self._zmq_context,
                 self.io_loop,
                 self._shell_socket,
+                self.shell_stream,
             )
         return self._manager
 
diff --git a/ipykernel/subshell_manager.py b/ipykernel/subshell_manager.py
index 3305bc67e..9fbc2711c 100644
--- a/ipykernel/subshell_manager.py
+++ b/ipykernel/subshell_manager.py
@@ -40,6 +40,7 @@ def __init__(
         context: zmq.Context[t.Any],
         shell_channel_io_loop: IOLoop,
         shell_socket: zmq.Socket[t.Any],
+        shell_stream=None,
     ):
         """Initialize the subshell manager."""
         self._parent_thread = current_thread()
@@ -47,6 +48,10 @@ def __init__(
         self._context: zmq.Context[t.Any] = context
         self._shell_channel_io_loop = shell_channel_io_loop
         self._shell_socket = shell_socket
+        # ZMQStream that reads `shell_socket`. Replies are sent on this same socket
+        # out-of-band below, draining its edge-triggered ZMQ_FD read edge; re-arm the
+        # stream after each send so a concurrently-arrived request cannot strand unread.
+        self._shell_stream = shell_stream
         self._cache: dict[str, SubshellThread] = {}
         self._lock_cache = Lock()  # Sync lock across threads when accessing cache.
 
@@ -226,6 +231,14 @@ def _process_control_request(
     def _send_on_shell_channel(self, msg) -> None:
         assert current_thread().name == SHELL_CHANNEL_THREAD_NAME
         self._shell_socket.send_multipart(msg)
+        # Re-arm the shell ZMQStream read: this out-of-band send drained the ROUTER's
+        # edge-triggered ZMQ_FD read edge; reschedule the stream's handler so a
+        # concurrently-arrived request cannot strand unread (the wedge fix).
+        stream = self._shell_stream
+        if stream is not None and stream.socket is self._shell_socket:
+            self._shell_channel_io_loop.add_callback(
+                lambda: stream._handle_events(stream.socket, 0)
+            )
 
     def _stop_subshell(self, subshell_thread: SubshellThread) -> None:
         """Stop a subshell thread and close all of its resources."""