diff --git a/Modules/mmapmodule.c b/Modules/mmapmodule.c
index 5d086a7..f4a80c2 100644
--- a/Modules/mmapmodule.c
+++ b/Modules/mmapmodule.c
@@ -702,7 +702,9 @@
 static PyObject *
 mmap__exit__method(PyObject *self, PyObject *args)
 {
-    return PyObject_CallMethod(self, "close", NULL);
+    _Py_identifier(close);
+
+    return _PyObject_CallMethodId(self, &PyId_close, NULL);
 }
 
 static struct PyMethodDef mmap_object_methods[] = {