diff --git a/Lib/pathlib.py b/Lib/pathlib.py
--- a/Lib/pathlib.py
+++ b/Lib/pathlib.py
@@ -8,7 +8,7 @@ import re
 import sys
 from collections import Sequence
 from contextlib import contextmanager
-from errno import EINVAL, ENOENT
+from errno import EINVAL, ENOENT, ENOTDIR
 from operator import attrgetter
 from stat import S_ISDIR, S_ISLNK, S_ISREG, S_ISSOCK, S_ISBLK, S_ISCHR, S_ISFIFO
 from urllib.parse import quote_from_bytes as urlquote_from_bytes
@@ -1187,7 +1187,7 @@ class Path(PurePath):
         try:
             self.stat()
         except OSError as e:
-            if e.errno != ENOENT:
+            if e.errno not in (ENOENT, ENOTDIR):
                 raise
             return False
         return True
diff --git a/Lib/test/test_pathlib.py b/Lib/test/test_pathlib.py
--- a/Lib/test/test_pathlib.py
+++ b/Lib/test/test_pathlib.py
@@ -1276,9 +1276,12 @@ class _BasePathTest(object):
         self.assertIs(True, p.exists())
         self.assertIs(True, (p / 'dirA').exists())
         self.assertIs(True, (p / 'fileA').exists())
+        self.assertIs(False, (p / 'fileA' / 'bah').exists())
         if not symlink_skip_reason:
             self.assertIs(True, (p / 'linkA').exists())
             self.assertIs(True, (p / 'linkB').exists())
+            self.assertIs(True, (p / 'linkB' / 'fileB').exists())
+            self.assertIs(False, (p / 'linkA' / 'bah').exists())
         self.assertIs(False, (p / 'foo').exists())
         self.assertIs(False, P('/xyzzy').exists())