diff --git a/distutils/sysconfig.py b/distutils/sysconfig.py
index d36d94f7..2bd18aff 100644
--- a/distutils/sysconfig.py
+++ b/distutils/sysconfig.py
@@ -13,6 +13,7 @@
 import os
 import re
 import sys
+import sysconfig
 
 from .errors import DistutilsPlatformError
 
@@ -280,25 +281,11 @@ def get_config_h_filename():
     return os.path.join(inc_dir, 'pyconfig.h')
 
 
-# Allow this value to be patched by pkgsrc. Ref pypa/distutils#16.
-_makefile_tmpl = 'config-{python_ver}{build_flags}{multiarch}'
-
-
 def get_makefile_filename():
     """Return full pathname of installed Makefile from the Python build."""
     if python_build:
         return os.path.join(_sys_home or project_base, "Makefile")
-    lib_dir = get_python_lib(plat_specific=0, standard_lib=1)
-    multiarch = (
-        '-%s' % sys.implementation._multiarch
-        if hasattr(sys.implementation, '_multiarch') else ''
-    )
-    config_file = _makefile_tmpl.format(
-        python_ver=get_python_version(),
-        build_flags=build_flags,
-        multiarch=multiarch,
-    )
-    return os.path.join(lib_dir, config_file, 'Makefile')
+    return sysconfig.get_makefile_filename()
 
 
 def parse_config_h(fp, g=None):
diff --git a/distutils/tests/test_sysconfig.py b/distutils/tests/test_sysconfig.py
index 80cd1599..7adff227 100644
--- a/distutils/tests/test_sysconfig.py
+++ b/distutils/tests/test_sysconfig.py
@@ -38,6 +38,12 @@ def test_get_config_h_filename(self):
         config_h = sysconfig.get_config_h_filename()
         self.assertTrue(os.path.isfile(config_h), config_h)
 
+    @unittest.skipIf(sys.platform == 'win32',
+                     'Makefile only exists on Unix like systems')
+    def test_get_makefile_filename(self):
+        makefile = sysconfig.get_makefile_filename()
+        self.assertTrue(os.path.isfile(makefile), makefile)
+
     def test_get_python_lib(self):
         # XXX doesn't work on Linux when Python was never installed before
         #self.assertTrue(os.path.isdir(lib_dir), lib_dir)