McCarron completed 17-of-22 passes, while T.J. Yeldon picked up 129 rushing yards with two scores for the Crimson Tide (7-0, 4-0 SEC).
Amari Cooper was McCarron's favorite target, collecting seven passes for 162 yards and two scores.
The Volunteers (3-4, 0-4) lost their third straight game as Tyler Bray (13-of-27, 184 yards) was picked off twice.
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