diff --git a/src/agents/result.py b/src/agents/result.py
index 438d53af2..f5955904c 100644
--- a/src/agents/result.py
+++ b/src/agents/result.py
@@ -306,6 +306,7 @@ 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.
         """
+        cancelled = False
         try:
             while True:
                 self._check_errors()
@@ -320,7 +321,9 @@ async def stream_events(self) -> AsyncIterator[StreamEvent]:
                 try:
                     item = await self._event_queue.get()
                 except asyncio.CancelledError:
-                    break
+                    cancelled = True
+                    self.cancel()
+                    raise
 
                 if isinstance(item, QueueCompleteSentinel):
                     # Await input guardrails if they are still running, so late
@@ -337,11 +340,16 @@ async def stream_events(self) -> AsyncIterator[StreamEvent]:
                 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 cancelled:
+                # Cancellation should return promptly, so avoid waiting on long-running tasks.
+                # Tasks have already been cancelled above.
+                self._cleanup_tasks()
+            else:
+                # 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
diff --git a/tests/test_cancel_streaming.py b/tests/test_cancel_streaming.py
index ddf603f9f..76b78cb58 100644
--- a/tests/test_cancel_streaming.py
+++ b/tests/test_cancel_streaming.py
@@ -1,13 +1,31 @@
+import asyncio
 import json
+import time
 
 import pytest
+from openai.types.responses import ResponseCompletedEvent
 
 from agents import Agent, Runner
+from agents.stream_events import RawResponsesStreamEvent
 
 from .fake_model import FakeModel
 from .test_responses import get_function_tool, get_function_tool_call, get_text_message
 
 
+class SlowCompleteFakeModel(FakeModel):
+    """A FakeModel that delays before emitting the completed event in streaming."""
+
+    def __init__(self, delay_seconds: float):
+        super().__init__()
+        self._delay_seconds = delay_seconds
+
+    async def stream_response(self, *args, **kwargs):
+        async for ev in super().stream_response(*args, **kwargs):
+            if isinstance(ev, ResponseCompletedEvent) and self._delay_seconds > 0:
+                await asyncio.sleep(self._delay_seconds)
+            yield ev
+
+
 @pytest.mark.asyncio
 async def test_simple_streaming_with_cancel():
     model = FakeModel()
@@ -131,3 +149,30 @@ async def test_cancel_immediate_mode_explicit():
     assert result.is_complete
     assert result._event_queue.empty()
     assert result._cancel_mode == "immediate"
+
+
+@pytest.mark.asyncio
+async def test_stream_events_respects_asyncio_timeout_cancellation():
+    model = SlowCompleteFakeModel(delay_seconds=0.5)
+    model.set_next_output([get_text_message("Final response")])
+    agent = Agent(name="TimeoutTester", model=model)
+
+    result = Runner.run_streamed(agent, input="Please tell me 5 jokes.")
+    event_iter = result.stream_events().__aiter__()
+
+    # Consume events until the output item is done so the next event is delayed.
+    while True:
+        event = await asyncio.wait_for(event_iter.__anext__(), timeout=1.0)
+        if (
+            isinstance(event, RawResponsesStreamEvent)
+            and event.data.type == "response.output_item.done"
+        ):
+            break
+
+    start = time.perf_counter()
+    with pytest.raises(asyncio.TimeoutError):
+        await asyncio.wait_for(event_iter.__anext__(), timeout=0.1)
+    elapsed = time.perf_counter() - start
+
+    assert elapsed < 0.3, "Cancellation should propagate promptly when waiting for events."
+    result.cancel()