The 27-year-old Sucre hit .157 in 127 at-bats over 50 games for Seattle last year and figured to be fourth on the depth chart behind newly acquired veterans Chris Iannetta and Steve Clevenger, along with former first-round Draft pick Mike Zunino, prior to his injury.
Sucre is the only player dealing with significant injury issues heading into Spring Training. Griffin said Robinson Cano, who had double hernia surgery in October, is fully recovered and won't have any limitations when camp opens next month in Peoria, Ariz.
In other health updates from Griffin:
• Left-handed reliever Charlie Furbush, who spent the final three months of the 2015 season on the disabled list with tendinitis in his shoulder, has begun his offseason throwing program without feeling any discomfort.