Stoutland spent two years coaching the Crimson Tide, both of which were national championship seasons.
"Coach Stoutland did an excellent job with our offensive line along with each and every responsibility he had while he was here at the University of Alabama," head coach Nick Saban said in a statement. "We appreciate all that he did in terms of his time and his dedication in contributing to the success we've had over the last two years. He's an outstanding coach and he will do a great job with the Eagles. We wish him and his family the best."
Stoutland is the second Tide assistant from this year's staff to leave for a new job. Defensive backs coach Jeremy Pruitt left to become Florida State's defensive coordinator last month. Greg Brown was recently hired as his replacement.
For more Alabama coverage, follow Laken Litman on Twitter!