The Yankees are scheduled to face left-hander Eduardo Rodriguez on Monday at Fenway Park, and the Red Sox have listed left-hander Henry Owens as their probable starter for Wednesday's series finale. Right-hander Rick Porcello will go on Tuesday.
"I'll think about it," Girardi said. "Birdie has swung well against lefties as well. You could look at the splits on the lefties, where lefties have had more success than righties. But it's something I'll think about."
Teixeira has said that he is unable to run because of a deep bone bruise in his right leg, the result of an Aug.