diff -r cdc3837cb1fc Lib/tarfile.py
--- a/Lib/tarfile.py	Tue Dec 16 03:21:54 2014 -0500
+++ b/Lib/tarfile.py	Tue Dec 16 20:08:14 2014 +0800
@@ -2245,8 +2245,12 @@
             return m
 
         # Read the next block.
-        self.fileobj.seek(self.offset)
         tarinfo = None
+        try:
+            self.fileobj.seek(self.offset)
+        except StreamError as e:
+            return tarinfo
+
         while True:
             try:
                 tarinfo = self.tarinfo.fromtarfile(self)