"We'll do a precautionary MRI tomorrow to make sure it's nothing significant," said Yankees general manager Brian Cashman. "We don't believe it is."
The 31-year-old two-time All-Star is coming off the finest season of his career, posting career highs of 41 home runs and 119 RBIs in 2011.
So far this spring, Granderson is batting .333 with 11 hits in 33 at-bats.
When asked how worried he is about Granderson's injury, Cashman said, "Right now, on a scale of one to 10, two or less."
Meanwhile, Andy Pettitte threw his second live batting practice session of the spring on Tuesday afternoon in Tampa as he continues his comeback after 18 months away from the game.
The 39-year-old lefty threw 35 pitches, with Nick Swisher and Chris Dickerson alternating in the batter's box, under the watchful eyes of manager Joe Girardi, pitching coach Larry Rothschild, and former Yankee David Wells, among others.
"It was a good day, a positive day, and another step in the right direction," Pettitte said.
"I thought he looked pretty good," Girardi said. "He was able to throw everything, for the most part, where he wanted to."
Pettitte said he was seeing the ball off the bat better, but also admitted he wasn't as sharp when he threw the final 15 pitches out of the stretch, and that his legs felt a little tired during his final few throws.
"I'd be lying if I said that they don't get a little fatigued," Pettitte said. "I'm trying to get to where I can drive and explode for 100 pitches, and I'm a long way from there."
But when Pettitte took a water break mid-session, Swisher was raving to Pettitte about his stuff, particularly the changeup.
"When Swish tells me that it's moving really good, that makes you feel good," Pettitte said. "He said my four-seamer is riding, my sinker is running -- those are all important things that I need. I need the ball to move late, and the hitters so far are telling me that it's doing that. Hopefully, I can just continue to progress the way I am."
The next step for Pettitte is another batting practice session, or a simulated game, likely on Thursday or Friday. And Girardi said he still thinks Pettitte can get into a game before spring training is over.
With the Yankees playing road games against the Marlins on Sunday and Monday in Miami, and against the Mets in Port St. Lucie next Tuesday, the most likely game for Pettitte to make his debut is the very last game of spring training -- next Wednesday against the Mets at Steinbrenner Field.
"It's not really important for me to get in a game (in spring training), that's not really a big issue for me," Pettitte said. "But I'm excited to get into a game whenever I can, and whatever that is. That'll be the key."