Ravens officials said it was too early to know whether the 6-foot-2, 245-pounder would be available for the start of training camp July 27.
Green was taken to Sinai Hospital after the stabbing early Sunday morning, a hospital spokeswoman said.
Green was at the Kings Point bowling alley when he bumped into another bowler, leading to an altercation. Green tried to break it off and left the bowling alley, but the man came after him and stabbed him in the parking lot.
Police have no suspects in the attack. The assailant and the player did not know each other, police said.
Green, 24, is a third-year player out of Central Missouri State. He played in 16 games last season and had two sacks.