With finding pass-rushing help their top priority, the Dallas Cowboys worked out Damontre Moore on Wednesday, according to a source.

The Cowboys' need has been accentuated by the four-game suspensions of DeMarcus Lawrence, who led the team in sacks last year with eight, and Randy Gregory, who is facing a longer suspension and has been at a treatment facility since training camp opened.

Moore, a former third-round pick of the New York Giants in 2013, has 9.5 career sacks. If he signed with the Cowboys, he would be tied for the most career sacks of any player on the roster. Cornerback Orlando Scandrick also has 9.5. Linebacker Rolando McClain, who will be suspended 10 games to open the season, also has 9.5 but he is on the reserve/did not report list since camp started.

Moore (6-foot-5, 250 pounds) had a tumultuous run with the Giants that led to his release last season. He struggled on the field with penalties and lack of production and had issues with teammates. He spent the final three games last season with the Miami Dolphins.

He signed with the Oakland Raiders in the offseason but was cut Aug. 5.

The Cowboys had a third-round grade on Moore, who played at Texas A&M, leading into the 2013 draft.

Injuries have hurt the Cowboys along the defensive line in camp.

Benson Mayowa (knee) and Maliek Collins (foot) returned to practice this week after opening camp on the physically unable to perform list. David Irving, a possible starter at left defensive end, suffered a groin injury in Tuesday’s practice. Lawrence Okoye has not practiced in a week because of a hamstring strain. Rookie Charles Tapper has been slowed by a lower back injury that kept him out of the preseason opener.