Turner was a member of the Houston Cougars for four seasons, starting his final three years.[2] He was a member of the Cougars' pass rush rotation during his freshman year and finished the season with 14 tackles, one sack and one interception.[3] His sophomore season ended prematurely due to a foot injury.[4] As a senior, Turner was named second team All-American Athletic Conference after recording 25 tackles, 10.5 for a loss, with five sacks in five games played, missing two games due to injury and opting out of the New Mexico Bowl.[5][6] After the season, Turner played in the 2021 Senior Bowl.[7]
Turner was drafted by the New Orleans Saints in the first round (28th overall) of the 2021 NFL draft.[11] He signed his four-year rookie contract with New Orleans on June 8, 2021.[12] On November 11, 2021, Turner was placed on injured reserve with a shoulder injury.[13]
On September 13, 2023, Turner was placed on injured reserve after suffering from a turf toe injury in the season opener against the Tennessee Titans.[14] He was activated on January 5, 2024.[15]