diff --git a/py/_path/local.py b/py/_path/local.py
index 0e856a66..f72504ee 100644
--- a/py/_path/local.py
+++ b/py/_path/local.py
@@ -166,9 +166,9 @@ def __hash__(self):
         return hash(self.strpath)
 
     def __eq__(self, other):
-        s1 = fspath(self)
+        s1 = normpath(fspath(self))
         try:
-            s2 = fspath(other)
+            s2 = normpath(fspath(other))
         except TypeError:
             return False
         if iswin32: