Fairbanks (shoulder) will throw live batting practice in Port Charlotte on Thursday, Neil Solondz of the Rays Radio Network reports.
Fairbanks threw a 24-pitch bullpen session Monday and will now face live hitters for the first time since he was placed on the injured list in late July. Manager Kevin Cash said the right-hander will likely report to Triple-A Durham for a rehab assignment if Thursday's throwing session goes well.