Jeter suffered a Grade 1 strain of the right calf, the lowest level. The injury came in the fifth inning of the Yankees' 1-0 loss, when Jeter was running to first base during a flyout to right field.
He was sent to New York-Presbyterian Hospital for an MRI, which revealed the Grade 1 strain. The Yankees announced that the club's next step with Jeter would be determined Tuesday.
Before Joe Girardi even knew the results of the MRI, the manager said he did not expect Jeter to play Tuesday against the Rangers.
"To see him come out of a game, usually you don't see him come out of the game," Girardi said. "So my gut feeling is he wouldn't be in there."
Jeter limped off the field after the play, and Eduardo Nunez replaced him at shortstop to start the sixth inning.
"He just walked off the field and you could tell he was done," Girardi said.
Road to 3,000 - The Final Leg
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Jeter led off the first inning with a single to the left side off Carlos Carrasco for his eighth hit in seven games on the club's current homestand, which continues Tuesday with the first of three games against the Rangers.
In the second inning, he lunged for first base while running out a fielder's choice to third and came down hard on the bag, but there was no indication that it contributed to the injury.
Jeter moved six hits away from becoming the 28th player in Major League history to join the 3,000-hit club. His injury makes it more possible that the milestone will come on the road.
Following the Texas series, the Yankees will travel to Chicago and Cincinnati, respectively, for a pair of three-game Interleague series, at Wrigley Field and Great American Ball Park.
Jeter has not been on the disabled list since dislocating his left shoulder in a collision at third base on Opening Day in 2003. He missed 36 games.
"You hate to see it, especially Derek," Mark Teixeira said. "He's not one to come out of the game unless it's something serious. We knew it wasn't something really minor because he pretty much plays through everything."
Matt Fortuna is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.