Martinez, who is expected to miss the entire 2012 season, underwent successful microfracture surgery on Friday to repair both the medial and lateral meniscus in his knee.
The slugger's surgeon was optimistic that Martinez would be ready to undergo reconstructive surgery on a torn anterior cruciate ligament (ACL) in his left knee in six to eight weeks, according to the team's release.
Martinez, 33, suffered the injury earlier this month during an offseason workout.
The loss of the four-time All-Star, which was seen as a huge blow to Detroit's lineup, was countered last week when the Tigers reached a surprising nine-year, $214 million deal with free-agent slugger Prince Fielder.
Martinez hit .330 in 2011, his third consecutive season with a batting average over .300. The former Indians and Red Sox slugger hit 12 home runs with 103 RBIs, mostly in a designated hitter role.