The team says the 30-year-old’s recovery time is expected to be six to eight weeks.
Sutter is no stranger to the procedure — he had surgery for a sports hernia on his left side in 2015.
Vancouver (27-30-9) entered play Tuesday eight points out of a wild-card spot in the congested Western Conference. Their final regular-season game of 2018-19 is scheduled for April 6.
Sutter hasn’t played since the Canucks beat the Calgary Flames 4-3 on Feb. 9.
The veteran also missed 30 games earlier this season after he separated his shoulder in a Canucks win over the Minnesota Wild in late October.