Johnson is expected to be out "several weeks,'' Yankees general manager Brian Cashman said through a spokesman.
The designated hitter left Friday night's win over the Boston Red Sox for pinch hitter Marcus Thames in the fifth inning. Johnson had a sore right wrist that he said caused him pain when he batted in the first inning. He returned to New York for tests on Saturday.
The Yankees called up utility infielder Kevin Russo on Saturday from Triple-A Scranton-Wilkes Barre, where he was hitting .302.
Catcher Jorge Posada did not start for the fourth straight game, out with a strained right calf muscle.
Information from ESPNNewYork.com's Wallace Matthews and The Associated Press contributed to this report.