Gallimore was the second Sooner taken by the Cowboys in their first three selections in this year’s draft. Dallas took wide receiver CeeDee Lamb in the first round with the 17th overall pick.
The 6-foot, 2-inch, 305-pound defensive lineman started 38 of 52 games in four years at Oklahoma, including 27 consecutively his junior and senior seasons. A 2019 First-Team All-Big 12 selection, Gallimore was credited with 148 tackles, 18.0 tackles for loss and 8.5 sacks in his Sooner career.
At the NFL Scouting Combine, Gallimore ran a 4.79 40-yard dash. He is one of just three defensive lineman to post a 40-yard dash time under 4.