He's had the condition in the past -- including last season -- and it has always gone away in short order. Drew hopes that is again the case this time around.
Jacoby Ellsbury started in right field on Friday night, with Coco Crisp playing center.
Drew took some Dramamine shortly after arriving at the ballpark.
"I've had it a couple of times before," said Drew. "When it gets like this, you hope it doesn't stick around for a while. Fortunately it never stuck around in the past. Hopefully it will just be a day and I'll sleep it off tonight. We'll see how it goes."
The Red Sox have some depth in the outfield to make up for Drew's absence. Jeff Bailey's contract was purchased from Pawtucket to fill the roster spot vacated by Daisuke Matsuzaka, who was placed on the disabled list.
In addition to playing first base, the right-handed-hitting Bailey can also play both corner outfield spots.
Bailey also made a cameo with the Red Sox last year, belting a home run in Detroit during his brief stay.
"He knows this could be short-term," Red Sox manager Terry Francona said. "When we send guys down, we always tell them, 'There's a chance you could get called up.' He's a great kid. He's always made a great impression on the staff in Spring Training. He's done a little bit more work in right field lately."
Ian Browne is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.