diff --git a/sentry_sdk/integrations/asyncio.py b/sentry_sdk/integrations/asyncio.py
index ab07ffc3cb..c18089a492 100644
--- a/sentry_sdk/integrations/asyncio.py
+++ b/sentry_sdk/integrations/asyncio.py
@@ -16,39 +16,40 @@
     from typing import Any
 
 
-def _sentry_task_factory(loop, coro):
-    # type: (Any, Any) -> Task[None]
+def patch_asyncio():
+    # type: () -> None
+    orig_task_factory = None
+    try:
+        loop = asyncio.get_running_loop()
+        orig_task_factory = loop.get_task_factory()
 
-    async def _coro_creating_hub_and_span():
-        # type: () -> None
-        hub = Hub(Hub.current)
-        with hub:
-            with hub.start_span(op=OP.FUNCTION, description=coro.__qualname__):
-                await coro
+        def _sentry_task_factory(loop, coro):
+            # type: (Any, Any) -> Any
 
-    # Trying to use user set task factory (if there is one)
-    orig_factory = loop.get_task_factory()
-    if orig_factory:
-        return orig_factory(loop, _coro_creating_hub_and_span)
+            async def _coro_creating_hub_and_span():
+                # type: () -> None
+                hub = Hub(Hub.current)
+                with hub:
+                    with hub.start_span(op=OP.FUNCTION, description=coro.__qualname__):
+                        await coro
 
-    # The default task factory in `asyncio` does not have its own function
-    # but is just a couple of lines in `asyncio.base_events.create_task()`
-    # Those lines are copied here.
+            # Trying to use user set task factory (if there is one)
+            if orig_task_factory:
+                return orig_task_factory(loop, _coro_creating_hub_and_span())  # type: ignore
 
-    # WARNING:
-    # If the default behavior of the task creation in asyncio changes,
-    # this will break!
-    task = Task(_coro_creating_hub_and_span, loop=loop)  # type: ignore
-    if task._source_traceback:  # type: ignore
-        del task._source_traceback[-1]  # type: ignore
+            # The default task factory in `asyncio` does not have its own function
+            # but is just a couple of lines in `asyncio.base_events.create_task()`
+            # Those lines are copied here.
 
-    return task
+            # WARNING:
+            # If the default behavior of the task creation in asyncio changes,
+            # this will break!
+            task = Task(_coro_creating_hub_and_span(), loop=loop)
+            if task._source_traceback:  # type: ignore
+                del task._source_traceback[-1]  # type: ignore
 
+            return task
 
-def patch_asyncio():
-    # type: () -> None
-    try:
-        loop = asyncio.get_running_loop()
         loop.set_task_factory(_sentry_task_factory)
     except RuntimeError:
         # When there is no running loop, we have nothing to patch.