I don't think the tournament could have worked out any better for Tennessee. Projected matchups:
1st Round-Green Bay. They are a good team and this could be a tough test. Tennessee, on paper, should handily win this game. But that has been said many times all year and the results haven't followed suit, so who knows.
2nd Round-Arizona State. Pac12 is sorely overrated IMO. Arizona State has been playing poorly as of late (losing to Cal in the Pac12 semis). If Tennessee plays well, they can win this game. They could have faced stronger 2nd round opponents in the form of any of the other #1 or #2 seeds or the likes of Louisville or Ohio State.
3rd Round-If they get by ASU, UT most likely faces Ohio State who has struggled as of late. If I'm optimistic but realistic, I think UT gets by ASU and bows out here. That said, Ohio State has played poorly as of late so I think Tennessee has a shot here.
Elite 8-South Carolina is the best possible matchup for Tennessee. UCONN would be a disaster, Notre Dame would win handily, and Baylor's too good offensively for UT to keep up. South Carolina can be great, but they can also play really gritty ball and can struggle putting points on the board, meaning UT has a chance to keep it close and make a few plays down the stretch.
Final Four-I will be STUNNED beyond belief if Tennessee makes it this far, but in the event they do, Notre Dame is much more beatable than UCONN.
Championship-I don't think Tennessee has a prayer against UCONN, but if they somehow knock of Arizona State, Ohio State, South Carolina AND Notre Dame, I'll be more optimistic at that point.