diff --git a/src/anyio/_backends/_asyncio.py b/src/anyio/_backends/_asyncio.py
index 19d10031..a7f74412 100644
--- a/src/anyio/_backends/_asyncio.py
+++ b/src/anyio/_backends/_asyncio.py
@@ -98,44 +98,7 @@
 from ..abc._eventloop import StrOrBytesPath
 from ..lowlevel import RunVar
 from ..streams.memory import MemoryObjectReceiveStream, MemoryObjectSendStream
-
-# registry of asyncio loop : selector thread
-_selectors: WeakKeyDictionary = WeakKeyDictionary()
-
-
-def _get_selector_windows(
-    asyncio_loop: AbstractEventLoop,
-) -> AbstractEventLoop:
-    """Get selector-compatible loop.
-
-    Sets ``add_reader`` family of methods on the asyncio loop.
-
-    Workaround Windows proactor removal of *reader methods.
-    """
-
-    if asyncio_loop in _selectors:
-        return _selectors[asyncio_loop]
-
-    from ._selector_thread import AddThreadSelectorEventLoop
-
-    selector_loop = _selectors[asyncio_loop] = AddThreadSelectorEventLoop(  # type: ignore[abstract]
-        asyncio_loop
-    )
-
-    # patch loop.close to also close the selector thread
-    loop_close = asyncio_loop.close
-
-    def _close_selector_and_loop() -> None:
-        # restore original before calling selector.close,
-        # which in turn calls eventloop.close!
-        asyncio_loop.close = loop_close  # type: ignore[method-assign]
-        _selectors.pop(asyncio_loop, None)
-        selector_loop.close()
-
-    asyncio_loop.close = _close_selector_and_loop  # type: ignore[method-assign]
-
-    return selector_loop
-
+from ._selector_thread import _get_selector_windows
 
 if sys.version_info >= (3, 10):
     from typing import ParamSpec
@@ -2726,14 +2689,19 @@ async def wait_socket_readable(cls, sock: socket.socket) -> None:
             and asyncio.get_event_loop_policy().__class__.__name__
             == "WindowsProactorEventLoopPolicy"
         ):
-            loop = _get_selector_windows(loop)
+            selector = _get_selector_windows(loop)
+            add_reader = selector.add_reader
+            remove_reader = selector.remove_reader
+        else:
+            add_reader = loop.add_reader
+            remove_reader = loop.remove_reader
         event = read_events[sock] = asyncio.Event()
-        loop.add_reader(sock, event.set)
+        add_reader(sock, event.set)
         try:
             await event.wait()
         finally:
             if read_events.pop(sock, None) is not None:
-                loop.remove_reader(sock)
+                remove_reader(sock)
                 readable = True
             else:
                 readable = False
diff --git a/src/anyio/_backends/_selector_thread.py b/src/anyio/_backends/_selector_thread.py
index 0d814306..7bc2c7dd 100644
--- a/src/anyio/_backends/_selector_thread.py
+++ b/src/anyio/_backends/_selector_thread.py
@@ -19,6 +19,7 @@
     Callable,
     Union,
 )
+from weakref import WeakKeyDictionary
 
 if typing.TYPE_CHECKING:
     from typing_extensions import Protocol
@@ -30,6 +31,9 @@ def fileno(self) -> int:
     _FileDescriptorLike = Union[int, _HasFileno]
 
 
+# registry of asyncio loop : selector thread
+_selectors: WeakKeyDictionary = WeakKeyDictionary()
+
 # Collection of selector thread event loops to shut down on exit.
 _selector_loops: set[SelectorThread] = set()
 
@@ -281,61 +285,31 @@ def remove_writer(self, fd: _FileDescriptorLike) -> bool:
         return True
 
 
-# AddThreadSelectorEventLoop: unmodified from tornado 6.4.0
-class AddThreadSelectorEventLoop(asyncio.AbstractEventLoop):
-    """Wrap an event loop to add implementations of the ``add_reader`` method family.
-
-    Instances of this class start a second thread to run a selector.
-    This thread is completely hidden from the user; all callbacks are
-    run on the wrapped event loop's thread.
-
-    This class is used automatically by Tornado; applications should not need
-    to refer to it directly.
+def _get_selector_windows(
+    asyncio_loop: asyncio.AbstractEventLoop,
+) -> SelectorThread:
+    """Get selector-compatible loop.
 
-    It is safe to wrap any event loop with this class, although it only makes sense
-    for event loops that do not implement the ``add_reader`` family of methods
-    themselves (i.e. ``WindowsProactorEventLoop``)
+    Sets ``add_reader`` family of methods on the asyncio loop.
 
-    Closing the ``AddThreadSelectorEventLoop`` also closes the wrapped event loop.
+    Workaround Windows proactor removal of *reader methods.
     """
 
-    # This class is a __getattribute__-based proxy. All attributes other than those
-    # in this set are proxied through to the underlying loop.
-    MY_ATTRIBUTES = {
-        "_real_loop",
-        "_selector",
-        "add_reader",
-        "add_writer",
-        "close",
-        "remove_reader",
-        "remove_writer",
-    }
-
-    def __getattribute__(self, name: str) -> Any:
-        if name in AddThreadSelectorEventLoop.MY_ATTRIBUTES:
-            return super().__getattribute__(name)
-        return getattr(self._real_loop, name)
-
-    def __init__(self, real_loop: asyncio.AbstractEventLoop) -> None:
-        self._real_loop = real_loop
-        self._selector = SelectorThread(real_loop)
+    if asyncio_loop in _selectors:
+        return _selectors[asyncio_loop]
 
-    def close(self) -> None:
-        self._selector.close()
-        self._real_loop.close()
+    selector_thread = _selectors[asyncio_loop] = SelectorThread(asyncio_loop)
 
-    def add_reader(  # type: ignore[override]
-        self, fd: _FileDescriptorLike, callback: Callable[..., None], *args: Any
-    ) -> None:
-        return self._selector.add_reader(fd, callback, *args)
+    # patch loop.close to also close the selector thread
+    loop_close = asyncio_loop.close
 
-    def add_writer(  # type: ignore[override]
-        self, fd: _FileDescriptorLike, callback: Callable[..., None], *args: Any
-    ) -> None:
-        return self._selector.add_writer(fd, callback, *args)
+    def _close_selector_and_loop() -> None:
+        # restore original before calling selector.close,
+        # which in turn calls eventloop.close!
+        asyncio_loop.close = loop_close  # type: ignore[method-assign]
+        _selectors.pop(asyncio_loop, None)
+        selector_thread.close()
 
-    def remove_reader(self, fd: _FileDescriptorLike) -> bool:
-        return self._selector.remove_reader(fd)
+    asyncio_loop.close = _close_selector_and_loop  # type: ignore[method-assign]
 
-    def remove_writer(self, fd: _FileDescriptorLike) -> bool:
-        return self._selector.remove_writer(fd)
+    return selector_thread