diff --git a/Lib/weakref.py b/Lib/weakref.py
index 753f072..59b3aa5 100644
--- a/Lib/weakref.py
+++ b/Lib/weakref.py
@@ -527,7 +527,27 @@
     class _Info:
         __slots__ = ("weakref", "func", "args", "kwargs", "atexit", "index")
 
-    def __init__(self, obj, func, *args, **kwargs):
+    def __init__(*args, **kwargs):
+        if len(args) >= 3:
+            self, obj, func, *args = args
+        elif not args:
+            raise TypeError("descriptor '__init__' of 'finalize' object "
+                            "needs an argument")
+        else:
+            if 'func' not in kwargs:
+                raise TypeError('finalize expected at least 2 positional '
+                                'arguments, got %d' % (len(args)-1))
+            func = kwargs.pop('func')
+            if len(args) >= 2:
+                self, obj, *args = args
+            else:
+                if 'obj' not in kwargs:
+                    raise TypeError('finalize expected at least 2 positional '
+                                    'arguments, got %d' % (len(args)-1))
+                obj = kwargs.pop('obj')
+                self, *args = args
+        args = tuple(args)
+
         if not self._registered_with_atexit:
             # We may register the exit function more than once because
             # of a thread race, but that is harmless