The chances of a regional are excellent, UT should get one. The chances of a super-regional are non-existent unless the rankings change or some higher ranked teams can't host because of scheduling conflicts.
Some of the other more knowledgeable posters can correct me, but there are 16 regional sites and 8 super-regional sites. The NCAA generally awards these based on ranking. If there is a scheduling conflict or some other reason a school cannot host, then that may allow another school to slip in and host.
If UT were to win the SEC Tournament, that could change things because their ranking would change.
If I have misstated anything, it is an honest error.