The initial report came from footballscoop.com, while The Tuscaloosa News has since reported the news as well.
Stoutland coached at Alabama for two years, both of which were national championship seasons, after coaching at the University of Miami from 2007-10.
Former Oregon coach Chip Kelly was recently hired as the Eagles' new coach and is in the process of looking for assistants. Last month reports out of Philadelphia suggested Kelly was interested in Alabama defensive coordinator Kirby Smart, but that report eventually fizzled.
Stoutland's reported departure comes one day after Alabama signed yet another top-rated recruiting class on National Signing Day. The Crimson Tide signed three offensive linemen in Grant Hill, Leon Brown and Brandon Hill.
"He's a very good dude, a very good coach," Brown said of Stoutland while talking to reporters on signing day. "He recruited me so I had a good chance to sit down with him and get to know him. I really can't wait to work with coach Stoutland."
Under Stoutland, Alabama had the nation's best offensive line in 2012. The new coach will have to replace starters Barrett Jones, Chance Warmack, D.J. Fluker, all of whom could be first-round draft picks this April.
Stoutland would be the Tide's second assistant to leave. Defensive backs coach Jeremy Pruitt left to become the defensive coordinator at Florida State earlier in the offseason. Alabama head coach Nick Saban replaced him with Colorado secondary coach Greg Brown.
Alabama spring practice begins next month, so if Stoutland accepts this new job, look for Saban to make a quick hire.
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