diff --git a/src/textual/screen.py b/src/textual/screen.py
index cf233fbc8a..60c327c30d 100644
--- a/src/textual/screen.py
+++ b/src/textual/screen.py
@@ -775,7 +775,7 @@ async def _on_idle(self, event: events.Idle) -> None:
         finally:
             if self._bindings_updated:
                 self._bindings_updated = False
-                self.app.call_later(self.bindings_updated_signal.publish, self)
+                self.bindings_updated_signal.publish(self)
 
     def _compositor_refresh(self) -> None:
         """Perform a compositor refresh."""
diff --git a/src/textual/signal.py b/src/textual/signal.py
index 3f7cf78a28..59881bdde6 100644
--- a/src/textual/signal.py
+++ b/src/textual/signal.py
@@ -108,7 +108,7 @@ def publish(self, data: SignalT) -> None:
 
         """
         # Don't publish if the DOM is not ready or shutting down
-        if not self._owner.is_attached:
+        if not self._owner.is_attached or not self._owner.app._exit:
             return
         for ancestor_node in self._owner.ancestors_with_self:
             if not ancestor_node.is_running: