Schafer has been out for more than a week after spraining his left hand making a diving catch in the outfield March 18 in Kissimmee. He's taken batting practice the last three days, but he hasn't made enough of a progression to get into a game.
Mills originally said Monday morning he wanted to get Schafer into Tuesday's game, but told reporters after the game against Washington it probably wasn't going to happen.
Schafer has had plenty of problems with his left hand in the past. He had left wrist surgery at the end of the 2009 season, and last year broke a joint on his left middle finger. He was on the disabled list with that injury when the Astros acquired him from the Braves last July as part of the Michael Bourn deal. Schafer is having a terrific spring and is hitting .391 (9-for-23).