Donnan was then the head football coach at the University of Georgia from 1996 to 2000. He compiled a 40–19 record during his tenure. He was the first football coach in school history to lead Bulldog teams to four consecutive bowl victories. Under Donnan, the Bulldogs won the 1998 Outback Bowl, the 1998 Peach Bowl, the 2000 Outback Bowl, and the 2000 Oahu Bowl. Before the 1997 game against Mississippi State, Donnan drove a steamroller into practice and told his players they "were either going to be the steamroller or the pavement"; Georgia won the game, 47–0.