Young Jr., who started nine games as a freshman last year, was arrested on a misdemeanor domestic violence charge last year.
He had been suspended from all team-related activities, but the university has never connected it to the domestic violence charge.
In a statement Friday evening, the university said that Young Jr. had completed the disciplinary sanctions imposed on him, which included removal from team activities during spring and summer practice and conditioning.
He will rejoin the team this week and will be allowed to participate in practice activities.
Young is scheduled for a Nov. 2 court date on the domestic violence charge.