Index: test/unittest2/case.py
===================================================================
--- test/unittest2/case.py
+++ test/unittest2/case.py
@@ -382,9 +382,13 @@
 
                 try:
                     self.tearDown()
-                except Exception:
-                    result.addError(self, sys.exc_info())
-                    success = False
+                except Exception, e:
+                    # ignore teardown failure if it's caused by removing missing file or directory
+                    if isinstance(e, OSError) and "No such file or directory" in e.args:
+                        warnings.warn(sys.exc_info())
+                    else:
+                        result.addError(self, sys.exc_info())
+                        success = False
 
             cleanUpSuccess = self.doCleanups()
             success = success and cleanUpSuccess