Galloway played college football at Ohio State University. While there he earned many honors and finished in the top five all time in many of Ohio State's receiving records. During his junior year he caught 47 passes for 946 yards and tied Cris Carter with a school record 11 touchdowns. His great play earned him First-Team All-Big Ten Conference honors as a junior. During his senior year he made 44 reception for 669 yards and seven touchdowns, and earned Second-Team All-Big Ten Conference. He finished his college career fourth in both career receptions with 108 and receiving yards with 1,894, and second in touchdown receptions behind Cris Carter with 19.