He played college football for the Colorado Buffaloes, and was selected by the Atlanta Falcons in the second round of the 2018 NFL draft.

[2][3] Oliver also ran track in high school, posting a personal best time of 10.56 seconds in the 100 meter dash.

After his junior season in 2017, Oliver decided to forgo his senior year and enter the 2018 NFL draft.

On fourth and 8 with one minute left in the game, Oliver tackled tight end Zach Ertz just short of the first down marker, sealing a Falcons win.

[11] In Week 8 of the 2020 season against the Carolina Panthers on Thursday Night Football, Oliver recorded his first career sack on Teddy Bridgewater during the 25–17 Falcons' victory.