Curtis Granderson is expected to miss at least a month after fracturing his left pinkie finger.
Granderson has already missed 38 games this season with a broken right arm.
He suffered the broken hand after being hit by a pitch from Cesar Ramos in the fifth inning Friday night against the Rays.
Granderson remained in the game and advanced around the bases, scoring on a bases-loaded walk to Jayson Nix, but he did not come out to play the field for the Yankees in the bottom of the inning.
"I thought I was going to be OK," he said. "But once I got to third, it started hurting a little bit and I was thinking to myself, 'I'm going to have to make sure I can go ahead and squeeze a bat before I can go back out there.' And as the inning continued to prolong a little bit, it started to throb."