diff --git a/Lib/test/test_mmap.py b/Lib/test/test_mmap.py
index 404f1e8755a..a3de398b9e8 100644
--- a/Lib/test/test_mmap.py
+++ b/Lib/test/test_mmap.py
@@ -491,11 +491,11 @@ class MmapTests(unittest.TestCase):
     def test_empty_file (self):
         f = open (TESTFN, 'w+b')
         f.close()
-        f = open(TESTFN, "rb")
-        self.assertRaisesRegex(ValueError,
-                               "cannot mmap an empty file",
-                               mmap.mmap, f.fileno(), 0, access=mmap.ACCESS_READ)
-        f.close()
+        with open(TESTFN, "rb") as f :
+            self.assertRaisesRegex(ValueError,
+                                   "cannot mmap an empty file",
+                                   mmap.mmap, f.fileno(), 0,
+                                   access=mmap.ACCESS_READ)
 
     def test_offset (self):
         f = open (TESTFN, 'w+b')
diff --git a/Modules/mmapmodule.c b/Modules/mmapmodule.c
index 0f22d4939b1..3e209341298 100644
--- a/Modules/mmapmodule.c
+++ b/Modules/mmapmodule.c
@@ -1364,6 +1364,11 @@ new_mmap_object(PyTypeObject *type, PyObject *args, PyObject *kwdict)
             }
 
             size = (((PY_LONG_LONG) high) << 32) + low;
+            if (size == 0) {
+                PyErr_SetString(PyExc_ValueError,
+                                "cannot mmap an empty file");
+                return NULL;
+            }
             if (offset >= size) {
                 PyErr_SetString(PyExc_ValueError,
                                 "mmap offset is greater than file size");