Warren Nolan's updated predicted results have us in a 3-way tie for 6th place in the SEC with Ole Miss and Vandy. In that scenario, if we beat Ole Miss, Ole Miss would win the tie-breaker with a 2-1 record against the other teams (having beaten Vandy twice), and we would be the 7-seed with a 1-1 record (and Vandy would be 8th at 1-2).
That would put us up against the 10-seed, which would be the loser of today's Alabama-Mississippi St. game based on Warren Nolan's projections. Then we'd go against #2, which would be Texas (winning the tie-break against LSU if they beat them at home in a couple of weeks).
Edit: They have us losing to Kentucky, but if we won that game (and everything else stayed constant based on these projections), we'd tie them for 5th in the standings and get the tie-break. Then we'd get the winner of the 12/13 game (Auburn/Florida) followed by 4-seed Oklahoma.