sweat played college football at florida state. as a freshman in 2015, sweat played 12 games with 41 tackles, 5 sacks, an interception, 2 passes defended, and 3 fumble recoveries. as a sophomore in 2016, sweat played 11 games with 41 tackles, 7 sacks, a pass defended, and a fumble recovery. as a junior in 2017, sweat played 12 games with 56 tackles, 5.5 sacks, and 3 passes defended. on january 4, 2018, sweat announced that he would forgo his senior year and enter the draft.