Mark Teixeira (wrist) took live batting practice on Monday. He took only three swings from each side of the plate, but it was an item he can cross off his checklist nonetheless. I wish I'd gotten a little more work, but we'll get more work the next time I'm out there," Teixeira said. Teixeira will face live BP again Tuesday before making his Grapefruit League debut Thursday. While he hasn't encountered any setbacks during his rehab, Teixeira admitted that batting lefty is his main concern since his surgically-repaired right wrist is the bottom hand from that side.