The Cowboys selected Gallimore in the third round of the 2020 NFL Draft, 82nd overall.
Gallimore is the second Oklahoma Sooner taken by the Cowboys in this draft, joining teammate CeeDee Lamb in Dallas. A defensive tackle, Gallimore displayed impressive athleticism by running a 4.79-second 40-yard dash at 301 pounds. He's a fluid player who can get up the field in a hurry from the defensive interior. In Dallas, Gallimore should also significantly benefit from the tutelage of Gerald McCoy and Dontari Poe.