Oliver played at Colorado from 2015 to 2017. During his collegiate career, he had 82 total tackles and three interceptions. After his junior season in 2017, Oliver decided to forgo his senior year and enter the 2018 NFL draft.[5] Oliver was also a member of Colorado's track and field team.[6]
The Atlanta Falcons selected Oliver in the second round (58th overall) of the 2018 NFL Draft.[8] Oliver was the eighth cornerback drafted in 2018.[9]
On May 9, 2018, the Falcons signed Oliver to a four-year, $4.63 million contract that includes $2.14 million guaranteed and a signing bonus of $1.45 million.[10] Oliver recorded his first career interception during Week 16 against the Carolina Panthers.
In Week 2 of the 2019 season against the Philadelphia Eagles, Oliver recorded 6 tackles in the 24–20 win. 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.[12]
Oliver entered the 2021 season as a Falcons starting cornerback. He suffered a knee injury in Week 4 and was placed on injured reserve on October 5, 2021.[13] On March 18, 2022, Oliver signed a one-year contract extension with the Falcons.[14] He was placed on injured reserve on September 1, 2022.[15] He was activated on October 15.[16]
San Francisco 49ers
On March 15, 2023, Oliver signed a two-year deal with the San Francisco 49ers.[17] He played in 17 games with six starts, recording 67 tackles, two passes defensed and one interception.
On February 23, 2024, Oliver was released by the 49ers.[18]