Torres had the operation Thursday and general manager Doug Wilson says he is expected back later this season.
Torres was injured in a collision with Anaheim forward Emerson Etem last Friday.
The Sharks were counting on Torres to provide energy and physical play this year. His acquisition late last season provided a needed spark to the team before he was suspended for the final six playoff games for an illegal hit on Los Angeles forward Jarret Stoll.
The Sharks signed Torres to a three-year, $6 million contract in June.
I remember the first time at Wrigley Field all of us had the long johns, the turtlenecks and the extra equipment because we were afraid of being cold. Halfway through the first period everybody's ripping everything off and we just ended up wearing what we would normally wear for a game at the United Center.
— Chicago Blackhawks forward Patrick Sharp on the 2009 Bridgestone NHL Winter Classic