diff --git a/src/agents/result.py b/src/agents/result.py
index 9d57da13d..26609da28 100644
--- a/src/agents/result.py
+++ b/src/agents/result.py
@@ -185,35 +185,42 @@ async def stream_events(self) -> AsyncIterator[StreamEvent]:
         - A MaxTurnsExceeded exception if the agent exceeds the max_turns limit.
         - A GuardrailTripwireTriggered exception if a guardrail is tripped.
         """
-        while True:
-            self._check_errors()
-            if self._stored_exception:
-                logger.debug("Breaking due to stored exception")
-                self.is_complete = True
-                break
+        try:
+            while True:
+                self._check_errors()
+                if self._stored_exception:
+                    logger.debug("Breaking due to stored exception")
+                    self.is_complete = True
+                    break
 
-            if self.is_complete and self._event_queue.empty():
-                break
+                if self.is_complete and self._event_queue.empty():
+                    break
 
-            try:
-                item = await self._event_queue.get()
-            except asyncio.CancelledError:
-                break
+                try:
+                    item = await self._event_queue.get()
+                except asyncio.CancelledError:
+                    break
 
-            if isinstance(item, QueueCompleteSentinel):
-                # Await input guardrails if they are still running, so late exceptions are captured.
-                await self._await_task_safely(self._input_guardrails_task)
+                if isinstance(item, QueueCompleteSentinel):
+                    # Await input guardrails if they are still running, so late
+                    # exceptions are captured.
+                    await self._await_task_safely(self._input_guardrails_task)
 
-                self._event_queue.task_done()
+                    self._event_queue.task_done()
 
-                # Check for errors, in case the queue was completed due to an exception
-                self._check_errors()
-                break
-
-            yield item
-            self._event_queue.task_done()
+                    # Check for errors, in case the queue was completed
+                    # due to an exception
+                    self._check_errors()
+                    break
 
-        self._cleanup_tasks()
+                yield item
+                self._event_queue.task_done()
+        finally:
+            # Ensure main execution completes before cleanup to avoid race conditions
+            # with session operations
+            await self._await_task_safely(self._run_impl_task)
+            # Safely terminate all background tasks after main execution has finished
+            self._cleanup_tasks()
 
         if self._stored_exception:
             raise self._stored_exception