The team said Tuesday his recovery is expected to last six to eight weeks.
The operation is on Sutter's right side. He sports hernia surgery on his left side in 2015.
Vancouver entered Tuesday eight points out of a wild-card spot in the congested Western Conference. Its regular season ends April 6.
Sutter hasn't played since a Feb. 9 victory over Calgary. The 30-year-old forward also missed 30 games earlier this season after he separated his shoulder during a win over Minnesota in October.