diff --git a/Doc/c-api/typeobj.rst b/Doc/c-api/typeobj.rst
index 9bb0e6dbbcf87dd389680f061f68b476b6a66698..b939d930b18c68989ed2a432da71a0a23fb02cf8 100644
--- a/Doc/c-api/typeobj.rst
+++ b/Doc/c-api/typeobj.rst
@@ -1990,9 +1990,6 @@ and :c:type:`PyType_Type` effectively act as defaults.)
           PyErr_Restore(error_type, error_value, error_traceback);
       }
 
-   For this field to be taken into account (even through inheritance),
-   you must also set the :const:`Py_TPFLAGS_HAVE_FINALIZE` flags bit.
-
    Also, note that, in a garbage collected Python,
    :c:member:`~PyTypeObject.tp_dealloc` may be called from
    any Python thread, not just the thread which created the object (if the object
@@ -2010,6 +2007,12 @@ and :c:type:`PyType_Type` effectively act as defaults.)
 
    .. versionadded:: 3.4
 
+   .. versionchanged:: 3.8
+
+      Before version 3.8 it was necessary to set the
+      :const:`Py_TPFLAGS_HAVE_FINALIZE` flags bit in order for this field to be
+      used.  This is no longer required.
+
    .. seealso:: "Safe object finalization" (:pep:`442`)