Teixeira missed the first 53 games of the season with a wrist injury and Girardi said he has been concerned since Teixeira's return because of the severity of the original injury.
"I've always said that the wrist is tricky," Girardi said. "People have wrist problems, people have back problems. I'm concerned."
The Yankees are off Monday after wrapping up their series with the Angels on Sunday. They open a nine-game homestand against the Dodgers on Tuesday.
David Adams took over at first base for Teixeria, who is hitless in his last 12 at-bats.
William Boor is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.