At the University of Washington in Seattle, he was known for using a very aggressive and punishing style of running. Dillon set the team all-time single-season records for rushing yards (1,695 yards) and touchdowns scored (24) in 1996. In the first quarter against San Jose State in mid-November, Dillon rushed for 222 yards and caught an 83-yard touchdown pass, setting NCAA records for both rushing yards and all-purpose yards (305) in one quarter. Dillon did not re-enter the game as the Huskies were comfortably ahead 25–0 by the end of the first quarter on a cold and rainy afternoon. The Dawgs led 43–3 at the half and won 53–10.