 Galloway accepted an athletic scholarship to attend the University of Florida in Gainesville, Florida, where he played defensive end and defensive tackle for coach Doug Dickey and coach Charley Pell's Florida Gators football teams from 1978 to 1981.During Galloway's junior season in 1980, he was a member of the Gators team that posted the biggest one-year turnaround in the history of NCAA Division I football—from 0–10–1 in 1979 to an 8–4 bowl team in 1980.He was recognized as a second-team All-Southeastern Conference (SEC) selection and an honorable mention All-American in 1980.