Francona said Giambi might require a brief Minor League rehab assignment.
"I want to sit and talk to 'G,'" Francona said. "I don't think he's going to be a big proponent of [a rehab assignment]. Saying that, when a guy's been down for a month -- I think he had [six plate appearances in Spring Training] -- we'll see. If anything, it's certainly not going to be extended. We'll see. We'll talk."
The 43-year-old Giambi was struck in the side by a pitch from Cubs starter Edwin Jackson on March 7, effectively ending the designated hitter's Spring Training. Giambi said he needs to run the bases, simulate a pinch-hitting situation and do other baseball activities before he can rejoin Cleveland's active roster.
"I'll come back when I can stand here and say that I know I can help the team," Giambi said on Tuesday. "I still have some things I need to do first. There's only so much you can do in the cage. It'll be good to get back home. We'll sit down and talk things over in Cleveland."
Jordan Bastian is a reporter for MLB.com. Read his blog, Major League Bastian, and follow him on Twitter @MLBastian. This story was not subject to the approval of Major League Baseball or its clubs.