diff --git a/Lib/test/test_codecs.py b/Lib/test/test_codecs.py
index 4ec7b58..e060471 100644
--- a/Lib/test/test_codecs.py
+++ b/Lib/test/test_codecs.py
@@ -1549,6 +1549,11 @@
         self.assertEqual("foo\udca5bar".encode("iso-8859-3", "surrogateescape"),
                          b"foo\xa5bar")
 
+    def test_latin1(self):
+        # Issue6373
+        self.assertEqual("\udce4\udceb\udcef\udcf6\udcfc".encode("latin1", "surrogateescape"),
+                         b"\xe4\xeb\xef\xf6\xfc")
+
 
 def test_main():
     support.run_unittest(