The NFL also fined him an additional game check on Monday for violating its personal conduct policy.
Purify signed with the Bengals before the 2008 season as an undrafted free agent from Nebraska. He has spent most of his time on the practice squad, appearing in only five games without catching a pass.
He was arrested following a scuffle at a northern Kentucky night spot in May, charged with a misdemeanor count of disorderly conduct.
Purify is eligible to play in the final preseason game at Indianapolis on Thursday. He will miss the season opener Sept. 12 at New England.