As a freshman at Oklahoma in 2017, Murray started all 14 games, recording 78 tackles and one sack and was named the co-Big 12 Defensive Freshman of the Year.[2][3][4] He again started all 14 games his sophomore year in 2018, recording 155 tackles and 4.5 sacks.[5][6] Following a junior year where he was named to the First-team All-Big 12. Murray announced that he would forgo his senior season to declare for the 2020 NFL draft.[7]
Murray was selected by the Los Angeles Chargers with the 23rd pick in the 2020 NFL Draft.[10] The Chargers moved up from their second and third round selections in a trade with the New England Patriots to acquire the pick used to select Murray.
In Week 13 against the Patriots, Murray led the team with 14 tackles (12 solo) and recorded his first career sack on Cam Newton during the 45–0 loss.[11] He was named to the PFWA All-Rookie Team.[12]
On October 4, 2021, Murray was placed on injured reserve after suffering an ankle injury in practice.[13] He was activated on November 13.[14]
On April 28, 2023, the Chargers opted to decline the fifth-year option of Murray's contract, making him a free agent in 2024.[15]
Tennessee Titans
On March 14, 2024, Murray signed a two-year contract with the Tennessee Titans.[16] Murray was named a team captain ahead of the 2024 season,[17] and played 14 games as a starting inside linebacker before sustaining a wrist injury in a Week 16 game against the Indianapolis Colts. He was placed on injured reserve on December 25, ending his season.[18] He finished the season with 95 total tackles, 3.5 sacks, and an interception.[19]