 Albright wasn't selected in the 2011 NFL draft because of his injury history and was signed as an undrafted free agent by the Dallas Cowboys.As a rookie, he was converted to outside linebacker, where he was a backup in all 16 games, finishing third on the team with 14 special teams tackles.In the 2012 preseason, injuries forced the team to play him at tight end for a few days, so that the offense could get its normal practice reps. During the regular season, he showed his versatility backing up all four linebacker positions and starting two games at inside linebacker after Ernie Sims got hurt.