Williams was one of five Irish players suspended last year for academic dishonesty, along with cornerback KeiVarae Russell, wide receiver DaVaris Daniels, linebacker Kendall Moore and safety Eilar Hardy. Only Hardy returned to play for the Irish last season.
Williams still needs to be cleared to participate by the NCAA and Notre Dame must make room for him on the roster because the Irish already have the maximum number of players on scholarship.
Head coach Brian Kelly said at a press conference in October that he believed Russell and Williams would be back with the team.
Williams, a senior, recorded 17 tackles and one sack while playing as a linebacker in 2013. He was expected to be a starter at defensive end in 2014.
- Dan Gartland