This is just a guess:
We haven't been an underdog in a game since the 2009 SEC Championship game vs Florida. (1-0 record)
In 2008, I assume we were the underdogs to Clemson, Georgia, LSU, and SEC championship vs Florida. (3-1 record)
In 2007, we were probably underdogs to Ark, UGA, FSU, UT, LSU, and Auburn (2-4 record).
So I have us at 6-5 when we are the underdog under Saban.