Teixeira received a cortisone injection after being seen by team physician Christopher Ahmad, as well as specialist Melvin Rosenwasser, at New York-Presbyterian Hospital. Teixeira will be re-evaluated in three days, the Yankees said, and the slugger said he "would love to" play on Friday against the Mariners.
"It's always disappointing when you have to miss a few games, but we're not supermen," Teixeira said. "Everyone has to deal with things. It's better to take care of it now, especially something like this that can be taken care of with cortisone and rest, than try to play through it and not be 100 percent the rest of the year."
Yankees manager Joe Girardi said he was very happy to hear the results of the exam, having been worried by Teixeira's inability to swing a bat during Monday's 5-4 loss to the Orioles.
"That was a huge relief," Girardi said. "I was preparing for the worst today as I was waiting for the phone call. I was concerned about it because Tex very seldom -- if ever -- comes out of a game. There's usually something seriously wrong if he ever comes out of a game."
Teixeira was forced to leave Monday's game after diving for J.J. Hardy's seventh-inning shot down the first-base line, landing on his left wrist.
Teixeira revealed after the game that he had actually hurt the wrist with a swing on Sunday against the Red Sox but was trying to play through the pain.
"I'm very relieved, but it's what I expected," Teixeira said. "When you're injured, you can tell if something's seriously wrong. I didn't feel like there was something seriously wrong. I just felt like my wrist was sore and I needed to get it fixed."
Teixeira, 32, is batting .256 with 20 home runs and 71 RBIs in 98 games for New York this season. Girardi said that the Yankees would know more about his expected time frame after Friday's exam.
"We're hoping by Friday he feels really good and he could possibly be a player for us, or shortly thereafter," Girardi said. "But we'll know more by Friday, after we give it a couple of days to calm down."
Bryan Hoch is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.