The Dallas Cowboys used their third round selection (82nd overall) of the 2020 NFL Draft on Oklahoma defensive tackle Neville Gallimore. After starting all 27 games over his final two collegiate seasons, Gallimore worked into the rotation on the Cowboys defensive line early in his rookie season before taking on a starting role, starting nine of the 14 games he played. He posted 26 tackles, a half sack, four tackles for losses, 12 pressures and a pass breakup as a rookie and was primed to take the second-year jump, but a shoulder injury suffered in the preseason limited him to four starts in five games in 2021. Gallimore made the most of his playing time and notched 10 tackles, 1.5 sacks, two tackles for loss and six hurries in a shortened season. He played in 16 games with one start in 2022, adding 33 tackles, one tackle for loss and a sack at defensive tackle.