diff --git a/Doc/library/pathlib.rst b/Doc/library/pathlib.rst
index 3d28a1b..0929ee2 100644
--- a/Doc/library/pathlib.rst
+++ b/Doc/library/pathlib.rst
@@ -559,7 +559,8 @@
 .. method:: PurePath.with_suffix(suffix)
 
    Return a new path with the :attr:`suffix` changed.  If the original path
-   doesn't have a suffix, the new *suffix* is appended instead::
+   doesn't have a suffix, the new *suffix* is appended instead.  If the
+   *suffix* is an empty string, the original suffix is removed::
 
       >>> p = PureWindowsPath('c:/Downloads/pathlib.tar.gz')
       >>> p.with_suffix('.bz2')
@@ -567,6 +568,9 @@
       >>> p = PureWindowsPath('README')
       >>> p.with_suffix('.txt')
       PureWindowsPath('README.txt')
+      >>> p = PureWindowsPath('README.txt')
+      >>> p.with_suffix('')
+      PureWindowsPath('README')
 
 
 .. _concrete-paths:
diff --git a/Lib/pathlib.py b/Lib/pathlib.py
index 8431c29..4fe9d4a 100644
--- a/Lib/pathlib.py
+++ b/Lib/pathlib.py
@@ -807,8 +807,10 @@
                                        self._parts[:-1] + [name])
 
     def with_suffix(self, suffix):
-        """Return a new path with the file suffix changed (or added, if none)."""
-        # XXX if suffix is None, should the current suffix be removed?
+        """Return a new path with the file suffix changed.  If the path
+        has no suffix, add given suffix.  If the given suffix is an empty
+        string, remove the suffix from the path.
+        """
         f = self._flavour
         if f.sep in suffix or f.altsep and f.altsep in suffix:
             raise ValueError("Invalid suffix %r" % (suffix))