diff --git a/sentry_sdk/integrations/asyncio.py b/sentry_sdk/integrations/asyncio.py
index 66742fe6e4..a652edc280 100644
--- a/sentry_sdk/integrations/asyncio.py
+++ b/sentry_sdk/integrations/asyncio.py
@@ -1,4 +1,5 @@
 import sys
+import functools
 
 import sentry_sdk
 from sentry_sdk.consts import OP
@@ -14,11 +15,13 @@
 from typing import cast, TYPE_CHECKING
 
 if TYPE_CHECKING:
-    from typing import Any
+    from typing import Any, Callable, TypeVar
     from collections.abc import Coroutine
 
     from sentry_sdk._types import ExcInfo
 
+    T = TypeVar("T", bound=Callable[..., Any])
+
 
 def get_name(coro):
     # type: (Any) -> str
@@ -29,6 +32,17 @@ def get_name(coro):
     )
 
 
+def _wrap_coroutine(wrapped):
+    # type: (Coroutine[Any, Any, Any]) -> Callable[[T], T]
+    # Only __name__ and __qualname__ are copied from function to coroutine in CPython
+    return functools.partial(
+        functools.update_wrapper,
+        wrapped=wrapped,  # type: ignore
+        assigned=("__name__", "__qualname__"),
+        updated=(),
+    )
+
+
 def patch_asyncio():
     # type: () -> None
     orig_task_factory = None
@@ -39,6 +53,7 @@ def patch_asyncio():
         def _sentry_task_factory(loop, coro, **kwargs):
             # type: (asyncio.AbstractEventLoop, Coroutine[Any, Any, Any], Any) -> asyncio.Future[Any]
 
+            @_wrap_coroutine(coro)
             async def _task_with_sentry_span_creation():
                 # type: () -> Any
                 result = None
diff --git a/tests/integrations/asyncio/test_asyncio.py b/tests/integrations/asyncio/test_asyncio.py
index 66113746bf..11b60fb0e1 100644
--- a/tests/integrations/asyncio/test_asyncio.py
+++ b/tests/integrations/asyncio/test_asyncio.py
@@ -67,7 +67,16 @@ async def test_create_task(
 
     with sentry_sdk.start_transaction(name="test_transaction_for_create_task"):
         with sentry_sdk.start_span(op="root", name="not so important"):
-            tasks = [asyncio.create_task(foo()), asyncio.create_task(bar())]
+            foo_task = asyncio.create_task(foo())
+            bar_task = asyncio.create_task(bar())
+
+            if hasattr(foo_task.get_coro(), "__name__"):
+                assert foo_task.get_coro().__name__ == "foo"
+            if hasattr(bar_task.get_coro(), "__name__"):
+                assert bar_task.get_coro().__name__ == "bar"
+
+            tasks = [foo_task, bar_task]
+
             await asyncio.wait(tasks, return_when=asyncio.FIRST_EXCEPTION)
 
     sentry_sdk.flush()