Girardi played down the long-term significance of the injury, saying he was hopeful that Teixeira could play on Tuesday night against the Cardinals. It is the same wrist that Teixeira had surgically repaired and that limited him to just 15 games in 2013.
"His wrist is a little stiff," Girardi said. "It has been stiff the last few days."
Later Monday night, Teixeira acted as if it could be more serious. He said the pain has "ratcheted" up.
He was unsure if he will be able to play on Tuesday and even left open the possibility it might be best for him to take a couple of days with the Yankees having an off day on Thursday.
"It is inflammation, we think, so hopefully it will calm down in the next couple of days," Teixeira said. "I'm not happy about it. It is not completely unexpected. I went every day for five weeks. It is probably time to take a day or two off to let it calm down anyway. It is definitely barking at me."
Teixeira said there are no tests planned at this time. He said in the future he might need to have more rest days.
"That is probably the smart thing to do but we never do that," Teixeira said. "We play until it hurts. That is kind of the way I've played since I was a rookie. It is just kind of the way it is."
Girardi said Teixeira first felt the sensation when the Yankees played a 13-inning game on Wednesday afternoon at Wrigley Field.
"It is not something that was totally unexpected, but today he thought it was a little more stiff than it has been," Girardi said. "He is just day to day."
Teixeira leads the Yankees with nine home runs and is tied with Yangervis Solarte for the team lead with 25 RBIs, despite missing a couple of weeks earlier in the year with a hamstring issue.
"We'll give him today off and hopefully, we'll have him back tomorrow," Girardi said.
Girardi wasn't sure if Teixeira could pinch-hit on Monday. In Teixeira's place, the Yankees had Kelly Johnson play first base against the Cardinals.
Teixeira was in Girardi's original lineup posted in the clubhouse, but it was changed about 10 minutes later.
The Yankees have been beset by injuries. They have already lost three of their top starters to the disabled list this season. CC Sabathia will be out until at least July. Michael Pineda could return this month, while Ivan Nova is done for the season.
Carlos Beltran, who is on the DL with bone spurs in his elbow, took a baby step on Monday by swinging a fungo bat. The Yankees are hoping Beltran can avoid surgery, which would keep him out 8-to-12 weeks.