diff --git a/Modules/_asynciomodule.c b/Modules/_asynciomodule.c
index 7e33558dba3e32..08ce172c6a8fcb 100644
--- a/Modules/_asynciomodule.c
+++ b/Modules/_asynciomodule.c
@@ -122,7 +122,6 @@ typedef enum {
     fut_state prefix##_state;                                               \
     int prefix##_log_tb;                                                    \
     int prefix##_blocking;                                                  \
-    PyObject *dict;                                                         \
     PyObject *prefix##_weakreflist;                                         \
     PyObject *prefix##_cancelled_exc;
 
@@ -489,7 +488,6 @@ future_init(FutureObj *fut, PyObject *loop)
     PyObject *res;
     int is_true;
 
-    // Same to FutureObj_clear() but not clearing fut->dict
     Py_CLEAR(fut->fut_loop);
     Py_CLEAR(fut->fut_callback0);
     Py_CLEAR(fut->fut_context0);
@@ -814,7 +812,7 @@ FutureObj_clear(FutureObj *fut)
     Py_CLEAR(fut->fut_source_tb);
     Py_CLEAR(fut->fut_cancel_msg);
     Py_CLEAR(fut->fut_cancelled_exc);
-    Py_CLEAR(fut->dict);
+    _PyObject_ClearManagedDict((PyObject *)fut);
     return 0;
 }
 
@@ -832,7 +830,7 @@ FutureObj_traverse(FutureObj *fut, visitproc visit, void *arg)
     Py_VISIT(fut->fut_source_tb);
     Py_VISIT(fut->fut_cancel_msg);
     Py_VISIT(fut->fut_cancelled_exc);
-    Py_VISIT(fut->dict);
+    _PyObject_VisitManagedDict((PyObject *)fut, visit, arg);
     return 0;
 }
 
@@ -1502,7 +1500,6 @@ static PyMethodDef FutureType_methods[] = {
 
 static PyMemberDef FutureType_members[] = {
     {"__weaklistoffset__", T_PYSSIZET, offsetof(FutureObj, fut_weakreflist), READONLY},
-    {"__dictoffset__", T_PYSSIZET, offsetof(FutureObj, dict), READONLY},
     {NULL},
 };
 
@@ -1551,7 +1548,7 @@ static PyType_Spec Future_spec = {
     .name = "_asyncio.Future",
     .basicsize = sizeof(FutureObj),
     .flags = (Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE |
-              Py_TPFLAGS_IMMUTABLETYPE),
+              Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_MANAGED_DICT),
     .slots = Future_slots,
 };
 
@@ -2183,7 +2180,7 @@ TaskObj_traverse(TaskObj *task, visitproc visit, void *arg)
     Py_VISIT(fut->fut_source_tb);
     Py_VISIT(fut->fut_cancel_msg);
     Py_VISIT(fut->fut_cancelled_exc);
-    Py_VISIT(fut->dict);
+    _PyObject_VisitManagedDict((PyObject *)fut, visit, arg);
     return 0;
 }
 
@@ -2640,7 +2637,6 @@ static PyMethodDef TaskType_methods[] = {
 
 static PyMemberDef TaskType_members[] = {
     {"__weaklistoffset__", T_PYSSIZET, offsetof(TaskObj, task_weakreflist), READONLY},
-    {"__dictoffset__", T_PYSSIZET, offsetof(TaskObj, dict), READONLY},
     {NULL},
 };
 
@@ -2677,7 +2673,7 @@ static PyType_Spec Task_spec = {
     .name = "_asyncio.Task",
     .basicsize = sizeof(TaskObj),
     .flags = (Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE |
-              Py_TPFLAGS_IMMUTABLETYPE),
+              Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_MANAGED_DICT),
     .slots = Task_slots,
 };