@@ -382,9 +382,9 @@ Creating Futures and Tasks
 
    If *factory* is ``None`` the default task factory will be set.
    Otherwise, *factory* must be a *callable* with the signature matching
-   ``(loop, coro, context=None)``, where *loop* is a reference to the active
+   ``(loop, coro, **kwargs)``, where *loop* is a reference to the active
    event loop, and *coro* is a coroutine object.  The callable
-   must return a :class:`asyncio.Future`-compatible object.
+   must pass on all *kwargs*, and return a :class:`asyncio.Task`-compatible object.
 
 .. method:: loop.get_task_factory()
 

@@ -458,25 +458,18 @@ def create_future(self):
         """Create a Future object attached to the loop."""
         return futures.Future(loop=self)
 
-    def create_task(self, coro, *, name=None, context=None):
+    def create_task(self, coro, **kwargs):
         """Schedule a coroutine object.
 
         Return a task object.
         """
         self._check_closed()
-        if self._task_factory is None:
-            task = tasks.Task(coro, loop=self, name=name, context=context)
-            if task._source_traceback:
-                del task._source_traceback[-1]
-        else:
-            if context is None:
-                # Use legacy API if context is not needed
-                task = self._task_factory(self, coro)
-            else:
-                task = self._task_factory(self, coro, context=context)
-
-            task.set_name(name)
+        if self._task_factory is not None:
+            return self._task_factory(self, coro, **kwargs)
 
+        task = tasks.Task(coro, loop=self, **kwargs)
+        if task._source_traceback:
+            del task._source_traceback[-1]
         try:
             return task
         finally:
@@ -490,9 +483,10 @@ def set_task_factory(self, factory):
         If factory is None the default task factory will be set.
 
         If factory is a callable, it should have a signature matching
-        '(loop, coro)', where 'loop' will be a reference to the active
-        event loop, 'coro' will be a coroutine object.  The callable
-        must return a Future.
+        '(loop, coro, **kwargs)', where 'loop' will be a reference to the active
+        event loop, 'coro' will be a coroutine object, and **kwargs will be
+        arbitrary keyword arguments that should be passed on to Task.
+        The callable must return a Task.
         """
         if factory is not None and not callable(factory):
             raise TypeError('task factory must be a callable or None')

@@ -292,7 +292,7 @@ def create_future(self):
 
     # Method scheduling a coroutine object: create a task.
 
-    def create_task(self, coro, *, name=None, context=None):
+    def create_task(self, coro, **kwargs):
         raise NotImplementedError
 
     # Methods for interacting with threads.

@@ -833,8 +833,8 @@ async def test():
             loop.close()
 
     def test_create_named_task_with_custom_factory(self):
-        def task_factory(loop, coro):
-            return asyncio.Task(coro, loop=loop)
+        def task_factory(loop, coro, **kwargs):
+            return asyncio.Task(coro, loop=loop, **kwargs)
 
         async def test():
             pass

@@ -302,6 +302,18 @@ async def run():
 
        self.run_coro(run())
 
+    def test_name(self):
+        name = None
+        async def coro():
+            nonlocal name
+            name = asyncio.current_task().get_name()
+
+        async def main():
+            task = self.loop.create_task(coro(), name="test name")
+            self.assertEqual(name, "test name")
+            await task
+
+        self.run_coro(coro())
 
 class AsyncTaskCounter:
     def __init__(self, loop, *, task_class, eager):

@@ -1081,6 +1081,18 @@ async def throw_error():
         # cancellation happens here and error is more understandable
         await asyncio.sleep(0)
 
+    async def test_name(self):
+        name = None
+
+        async def asyncfn():
+            nonlocal name
+            name = asyncio.current_task().get_name()
+
+        async with asyncio.TaskGroup() as tg:
+            tg.create_task(asyncfn(), name="example name")
+
+        self.assertEqual(name, "example name")
+
 
 class TestTaskGroup(BaseTestTaskGroup, unittest.IsolatedAsyncioTestCase):
     loop_factory = asyncio.EventLoop

diff --git a/Misc/NEWS.d/next/Library/2025-01-13-07-54-32.gh-issue-128308.kYSDRF.rst b/Misc/NEWS.d/next/Library/2025-01-13-07-54-32.gh-issue-128308.kYSDRF.rst
@@ -0,0 +1 @@
+Support the *name* keyword argument for eager tasks in :func:`asyncio.loop.create_task`,  :func:`asyncio.create_task` and  :func:`asyncio.TaskGroup.create_task`, by passing on all *kwargs* to the task factory set by :func:`asyncio.loop.set_task_factory`.
Original file line number	Diff line number	Diff line change
		@@ -0,0 +1 @@
		Support the name keyword argument for eager tasks in :func:`asyncio.loop.create_task`, :func:`asyncio.create_task` and :func:`asyncio.TaskGroup.create_task`, by passing on all kwargs to the task factory set by :func:`asyncio.loop.set_task_factory`.