Sims left the game in the third quarter after absorbing a hit on a running play but returned later in the quarter.
Sims finished the game 23-of-33 for 445 yards -- the second-most in program history -- and four touchdowns against one interception.
The injury is not expected to force Sims to miss any games.
The Crimson Tide (4-0), ranked No. 3 in the latest AP Poll, have a bye next weekend before playing at Ole Miss.
Saban: Blake Sims bruised right shoulder. But he is OK. "It's probably good that we have a bye week."— George Schroeder (@GeorgeSchroeder) September 20, 2014