Fourth-round pick Reggie Robinson II is the latest draft pick to sign a deal with the team, according to Michael Gehlken of the Dallas Morning News.
The Cowboys agreed to deals with fifth-round pick Bradlee Anae and seventh-round pick Ben DiNucci early Monday.
CeeDee Lamb, Trevon Diggs, Neville Gallimore and Tyler Biadasz remain unsigned.
A Cleburne, Texas native, Robinson played in 41 games in four years at Tulsa, becoming a starter midway through his redshirt freshman season and holding that starting designation until the end of his college career.
In those 41 games, Robinson was highly productive, making 132 total tackles, 34 pass deflections, three interceptions, and three fumble recoveries.