diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index b59fe73f04..7ced90fdf6 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -989,6 +989,13 @@ class ContextTests(unittest.TestCase):
 
 
     def test_load_dh_params(self):
+        filename = u'dhpäräm.pem'
+        fs_encoding = sys.getfilesystemencoding()
+        try:
+            filename.encode(fs_encoding)
+        except UnicodeEncodeError:
+            self.skipTest("filename %r cannot be encoded to the filesystem encoding %r" % (filename, fs_encoding))
+
         ctx = ssl.SSLContext(ssl.PROTOCOL_TLSv1)
         ctx.load_dh_params(DHFILE)
         if os.name != 'nt':
@@ -1001,7 +1008,7 @@ class ContextTests(unittest.TestCase):
         with self.assertRaises(ssl.SSLError) as cm:
             ctx.load_dh_params(CERTFILE)
         with support.temp_dir() as d:
-            fname = os.path.join(d, u'dhpäräm.pem')
+            fname = os.path.join(d, filename)
             shutil.copy(DHFILE, fname)
             ctx.load_dh_params(fname)
 
diff --git a/Misc/NEWS.d/next/Tests/2018-04-26-22-39-17.bpo-33354.g35-44.rst b/Misc/NEWS.d/next/Tests/2018-04-26-22-39-17.bpo-33354.g35-44.rst
new file mode 100644
index 0000000000..c66cecac32
--- /dev/null
+++ b/Misc/NEWS.d/next/Tests/2018-04-26-22-39-17.bpo-33354.g35-44.rst
@@ -0,0 +1,2 @@
+Skip ``test_ssl.test_load_dh_params`` when Python filesystem encoding cannot encode the
+provided path.