Martinez will be placed on the paternity list following Thursday afternoon's game against the Baltimore Orioles.
The Tigers are expected to reach out to Triple-A Toledo to fill the roster spot of Martinez, who entered Thursday's game batting .265 with two homers and 21 RBIs this season. The 38-year-old Venezuelan is hitting .300 in his career with 229 homers and 1,098 RBIs in 1,769 games with the Cleveland Indians, Boston Red Sox and Tigers.
Catcher/first baseman John Hicks is a possible candidate, as the 27-year-old filled in admirably when Miguel Cabrera was on the 10-day disabled list with a right groin injury last month. Hicks batted .423 with one homer and seven RBIs in seven games with the Tigers from April 22-30.