diff --git a/later/unittest/case.py b/later/unittest/case.py
index e4c55e1..3d2b771 100644
--- a/later/unittest/case.py
+++ b/later/unittest/case.py
@@ -25,7 +25,6 @@
 import asyncio.tasks
 import sys
 import unittest.mock as mock
-import weakref
 from functools import wraps
 from typing import Any, Callable, TypeVar
 
@@ -40,7 +39,6 @@
 _IGNORE_TASK_LEAKS_ATTR = "__later_testcase_ignore_tasks__"
 _IGNORE_AIO_ERRS_ATTR = "__later_testcase_ignore_asyncio__"
 atleastpy38: bool = sys.version_info[:2] >= (3, 8)
-_unmanaged_tasks: weakref.WeakSet[asyncio.Task] = weakref.WeakSet()
 
 
 class TestTask(asyncio.Task):
@@ -50,7 +48,6 @@ class TestTask(asyncio.Task):
     def __init__(self, coro, *args, **kws) -> None:
         # pyre-fixme[16]: Module `coroutines` has no attribute `_format_coroutine`.
         self._coro_repr = asyncio.coroutines._format_coroutine(coro)
-        _unmanaged_tasks.add(self)
         super().__init__(coro, *args, **kws)
 
     def __repr__(self) -> str:
@@ -63,29 +60,24 @@ def __repr__(self) -> str:
             repr_info[1] = coro  # pragma: nocover
         return f"<{self.__class__.__name__} {' '.join(repr_info)}>"
 
-    def _mark_managed(self):
-        if not self._managed:
-            self._managed = True
-            _unmanaged_tasks.remove(self)
-
     def __await__(self):
-        self._mark_managed()
+        self._managed = True
         return super().__await__()
 
     def result(self):
         if self.done():
-            self._mark_managed()
+            self._managed = True
         return super().result()
 
     def exception(self):
         if self.done():
-            self._mark_managed()
+            self._managed = True
         return super().exception()
 
     def add_done_callback(self, fn, *, context=None) -> None:
         @wraps(fn)
         def mark_managed(fut):
-            self._mark_managed()
+            self._managed = True
             return fn(fut)
 
         super().add_done_callback(mark_managed, context=context)
@@ -143,7 +135,7 @@ def all_tasks(loop):
     i = 0
     while True:
         try:
-            tasks = list(_all_tasks) + list(_unmanaged_tasks)
+            tasks = list(_all_tasks)
         except RuntimeError:  # pragma: nocover
             i += 1
             if i >= 1000: