diff --git a/Lib/test/test_textwrap.py b/Lib/test/test_textwrap.py
index 1cbd9ce..ffd59c3 100644
--- a/Lib/test/test_textwrap.py
+++ b/Lib/test/test_textwrap.py
@@ -365,6 +365,14 @@
         self.assertRaises(ValueError, wrap, text, 0)
         self.assertRaises(ValueError, wrap, text, -1)
 
+    def test_no_split_at_umlaut(self):
+        text = "Die Empf\xe4nger-Auswahl"
+        self.check_wrap(text, 13, ["Die", "Empf\xe4nger-", "Auswahl"])
+
+    def test_umlaut_followed_by_dash(self):
+        text = "aa \xe4\xe4-\xe4\xe4"
+        self.check_wrap(text, 7, ["aa \xe4\xe4-", "\xe4\xe4"])
+
 
 class LongWordTestCase (BaseTestCase):
     def setUp(self):
diff --git a/Lib/textwrap.py b/Lib/textwrap.py
index 867b9d9..1f2e9b4 100644
--- a/Lib/textwrap.py
+++ b/Lib/textwrap.py
@@ -76,7 +76,7 @@
     # (after stripping out empty strings).
     wordsep_re = re.compile(
         r'(\s+|'                                  # any whitespace
-        r'[^\s\w]*\w+[a-zA-Z]-(?=\w+[a-zA-Z])|'   # hyphenated words
+        r'[^\s\w]*\w+[^0-9\W]-(?=\w+[^0-9\W])|'   # hyphenated words
         r'(?<=[\w\!\"\'\&\.\,\?])-{2,}(?=\w))')   # em-dash
 
     # This less funky little regex just split on recognized spaces. E.g.
diff --git a/Misc/NEWS b/Misc/NEWS
index aaa65c5..e31bb0b 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -45,6 +45,9 @@
 Library
 -------
 
+- Issue #4163: textwrap module: allow word splitting on a hyphen preceded by
+  a non-ASCII letter.
+
 - Issue #4616: TarFile.utime(): Restore directory times on Windows.
 
 - Issue #4021: tokenize.detect_encoding() now raises a SyntaxError when the