Here's the breakdown of bowl slots for SEC teams. 2 teams out of Bama, LSU, and Arky are going to be in a BCS bowl. Whoever finishes 3rd out of that group will likely end up in the Cotton Bowl. The Citrus Bowl would then likely take UGA. The Outback, Gator and CFA Bowls would then take some combination of USCjr, UF and Auburn. Leaving UT, Vandy and Miss St. to be taken by the MCB, Liberty and Compass Bowls IF they all get bowl eligible. Miss. St. is almost certainly going to beat Ole Miss. UT and Vandy are less of a sure thing against UK and Wake Forest respectively.
Still, if UT can get bowl eligible, after last seasons attendance, I have a hard time imagining the MCB passing on us considering the crowd they typically have drawn when UT wasn't involved in the game.