Andrus, who was 2-for-2 with a sacrifice in three plate appearances, injured the wrist in the fifth inning after an RBI single gave the Rangers a 4-0 lead. He then stole second and injured the wrist with a headfirst slide.
Andrus had to come out of the game, and Andres Blanco took over at shortstop.
"He's OK," said Rangers manager Ron Washington after the game. "He'll just be day to day. He just sprained his wrist a little bit and turned it over. He'll be fine. I don't see the DL."
Andrus said he won't play Saturday, and it may be Tuesday in Houston before he gets back in the lineup.
"We'll see. We'll just have to wake up tomorrow, see how it is and let the doctor tell me what's going on. I don't know how long it it will take."
Andrus is batting .278 on the season, with three homers, 30 RBIs and 22 stolen bases in 73 games.
T.R. Sullivan is a reporter for MLB.com. Read his blog, Postcards from Elysian Fields, and follow him on Twitter @Sullivan_Ranger. This story was not subject to the approval of Major League Baseball or its clubs.