Slotted in as the designated hitter Monday, Craig went 0-for-2 with a walk against Scranton/Wilkes-Barre.
The right-handed hitter is coming off a sprained left foot. The Red Sox acquired Craig along with right-hander Joe Kelly from the Cardinals for John Lackey on July 31.
Red Sox manager John Farrell said Craig will probably get Tuesday off and then play the outfield Wednesday and Thursday.
Ian Browne is a reporter for MLB.com. Steven Petrella is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.