Granderson has been out since May 2 with a groin injury. When he returns he will play center field, while Brett Gardner will move back to left. There is a chance that Granderson also could move into the No. 2 hole for the Yankees. The spot has been a revolving door since DH Nick Johnson went to the disabled list earlier this month.
"Swisher is the only one who breaks up the lefties," Girardi said of Swisher, a switch-hitter.
On Thursday night, Gardner batted second.
Granderson is hitting .225 with two homers and seven RBIs.
ESPN Insider Buster Olney contributed to this report.