Wednesday was the fourth straight game Drew was out of the lineup.
"He went out and ran," said Red Sox manager Terry Francona. "I think he was a little bit disappointed. I think he thought he was going to get to a certain point and get to a level and then kind of go to another one. He wasn't able to do that. He is getting better, actually improving significantly. I think he was a little disappointed, he couldn't quite get to that next gear, so that's kind of where we are."
Though Francona didn't completely rule Drew out for Thursday, he admitted it didn't seem realistic.
"If you had to ask me now, no," Francona said. "I guess there's always a chance you wake up and feel good. I would say after watching him today, probably not."
Josh Reddick, promoted from Triple-A on Tuesday, started in place of Drew for the second straight night. The Red Sox have to make a roster move on Thursday to activate Daisuke Matsuzaka. Because of Drew's injury, they could hang on to Reddick for another couple of days and send down a pitcher.