Cushing will need surgery to repair the ACL tear, ending his 2012 season after five games.
"I do know that there are crises in this league, and every team has them," Kubiak said, via The Associated Press. "We've had our share here the last couple of years, and boy, if this is the first one (this year), it's a big one."
Cushing was injured in the second quarter on Monday night, when Jets left guard Matt Slauson cut him down from behind on a chop block. Cushing -- a fourth-year star voted as the team's MVP in 2011 -- walked off the field and was examined by trainers behind the bench. Running back Arian Foster approached and gave his teammate a hug before Cushing retreated to the locker room.