Wilson completed 24-of-45 passes for 327 yards and four touchdowns. He directed a 73-yard scoring drive in the final two minutes to win the game.
Caddell had nine catches for 91 yards and D.J. Hall caught six passes for 172 yards and two touchdowns, despite seeing limited second-half action due to injury.
Terry Grant rushed 20 times for 96 yards for the Crimson Tide (3-0, 2-0 SEC).
Darren McFadden rushed 33 times for 195 yards and two touchdowns for Arkansas (1-1, 0-1), which overcame two separate 21-point deficits to take a 38-34 lead -- its first of the game -- late in the fourth quarter.