Ross, 26, was arrested in Frisco during a traffic stop, KRLD reported, and was taken into custody for possession of marijuana and unlawful possession of a weapon.
Frisco police Sgt. Evan Mattei said Ross was arrested Wednesday morning. He didn't provide further details. The department didn't respond immediately to a public information request from the Associated Press.
KRLD reported the lineman was placed on injured reserve in August after suffering a shoulder injury.
Ross played in three games in 2017 and in 13 games last season with the Cowboys where he tallied 14 combined tackles, a sack and one forced fumble.
There's been no statement from the team on Ross' arrest and it's not clear if he's obtained an attorney.