diff --git a/Lib/test/test_pickle.py b/Lib/test/test_pickle.py
index b4bce7e6ac..2cbf52d866 100644
--- a/Lib/test/test_pickle.py
+++ b/Lib/test/test_pickle.py
@@ -258,7 +258,7 @@ if has_c_implementation:
         check_sizeof = support.check_sizeof
 
         def test_pickler(self):
-            basesize = support.calcobjsize('6P2n3i2n3iP')
+            basesize = support.calcobjsize('6P2n3i2n3i2P')
             p = _pickle.Pickler(io.BytesIO())
             self.assertEqual(object.__sizeof__(p), basesize)
             MT_size = struct.calcsize('3nP0n')
diff --git a/Modules/_pickle.c b/Modules/_pickle.c
index 58cd09ca61..12bec64343 100644
--- a/Modules/_pickle.c
+++ b/Modules/_pickle.c
@@ -613,6 +613,8 @@ typedef struct PicklerObject {
     PyObject *pers_func_self;   /* borrowed reference to self if pers_func
                                    is an unbound method, NULL otherwise */
     PyObject *dispatch_table;   /* private dispatch_table, can be NULL */
+    PyObject *global_hook;      /* hook for invoking user-defined callbacks
+                                   instead of save_global */
 
     PyObject *write;            /* write() method of the output stream. */
     PyObject *output_buffer;    /* Write into a local bytearray buffer before
@@ -1107,6 +1109,7 @@ _Pickler_New(void)
     self->fast_memo = NULL;
     self->max_output_len = WRITE_BUF_SIZE;
     self->output_len = 0;
+    self->global_hook = NULL;
 
     self->memo = PyMemoTable_New();
     self->output_buffer = PyBytes_FromStringAndSize(NULL,
@@ -4020,7 +4023,28 @@ save(PicklerObject *self, PyObject *obj, int pers_save)
         status = save_tuple(self, obj);
         goto done;
     }
-    else if (type == &PyType_Type) {
+    /*  The switch-on-type statement ends here because the next three
+     *  conditions are not exclusive anymore. If global_hook returns
+     *  NotImplementedError, then we must fallback to save_type or save_global
+     *  */
+    if (self->global_hook != NULL){
+        PyObject *reduce_value = NULL;
+        reduce_value = PyObject_CallFunctionObjArgs(self->global_hook, obj,
+                                                    NULL);
+        if (reduce_value == NULL){
+            goto error;
+        }
+
+        if (reduce_value != PyExc_NotImplementedError){
+            status = save_reduce(self, reduce_value, NULL);
+            Py_DECREF(reduce_value);
+            if (status < 0)
+                goto error;
+            goto done;
+        }
+    }
+
+    if (type == &PyType_Type) {
         status = save_type(self, obj);
         goto done;
     }
@@ -4662,6 +4686,7 @@ static PyMemberDef Pickler_members[] = {
     {"bin", T_INT, offsetof(PicklerObject, bin)},
     {"fast", T_INT, offsetof(PicklerObject, fast)},
     {"dispatch_table", T_OBJECT_EX, offsetof(PicklerObject, dispatch_table)},
+    {"global_hook", T_OBJECT_EX, offsetof(PicklerObject, global_hook)},
     {NULL}
 };