 After high school Ollison went on to play for the Arkansas Razorbacks under coach Ken Hatfield, where he was a four-year letterman (1987–1990) and a regular contributor at defensive tackle.He registered 63 tackles in his college career, and was a starter in the 1989 and 1990 Cotton Bowl Classics.After his collegiate career ended, Ollison had a free agent tryout with the Indianapolis Colts of the National Football League and was drafted by the San Antonio Riders of the World League of American Football.