He previously received a four-game suspension in 2010 for testing positive for HCG, a fertility drug on the NFL's list on banned substances.
In Week 2, the Texans will have to recoup quickly as they're playing on a short week.
Cushing, a 2009 first-round pick out of USC, entered the National Football League and showed early signs of being a playmaker.
Cushing left the game with a concussion, and it was reported that the linebacker could miss Sunday's game against the Cincinnati Bengals as a result of the injury. He was named Defensive Rookie of the Year and made his only Pro Bowl. Rookie running back Leonard Fournette carried the ball 26 times for 100 yards and a touchdown in the Jaguars' 29-7 victory. The Texans need him in their depleted offense. Cushing played a much heavier role in the pass rush earlier in his career, notching 9.5 sacks in his first three seasons.