New York - Derek Jeter limped off the field with a sore right calf four innings after getting his 2,994th hit, and Carlos Carrasco escaped early trouble to pitch the Cleveland Indians past the New York Yankees 1-0 Monday night.

There was no immediate word on the severity of Jeter's injury. He was noticeably hurt as he jogged toward first base during a flyout in the fifth and left the game, stalling his pursuit to become the 28th big leaguer to reach 3,000 career hits.

Teammates, fans and even Jeter himself had said it would be nice to achieve the milestone at Yankee Stadium. New York has three games against Texas left on this homestand, then goes on a six-game road trip to Wrigley Field in Chicago, and Cincinnati.

Jeter hit a leadoff single in the first and the Yankees quickly loaded the bases with no outs against Carrasco (6-3). But Jeter hesitated on Alex Rodriguez's medium-depth fly and stayed at third base - center fielder Michael Brantley appeared ready to concede the run - and Carrasco got out of the jam without allowing a run.

Cleveland manager Manny Acta shuffled his batting order, putting Carlos Santana, Brantley and Asdrubal Cabrera into lineup spots where they'd never hit before. The Indians had totaled only 21 runs while losing nine of 10, and managed to scratch out just enough to win.

Brantley tripled off the glove of diving right fielder Nick Swisher in the fourth and Cabrera bounced an RBI single to left field. That go-ahead grounder stopped the Indians' 0-for-20 drought with runners in scoring position.

The Indians had lost four in a row overall and were able to avoid a four-game sweep in the Bronx. They handed New York its first 1-0 loss in the three-season history of new Yankee Stadium.

Carrasco pitched five-hit ball for seven innings, striking out seven and walking three. The Yankees certainly had their chances at the start against him - of their first 14 batters, seven reached base. The 24-year-old righty set down 13 of his last 14.

Tony Sipp got two outs in the eighth, retiring Mark Teixeira on a flyball up against the right-center wall, and reliever Vinnie Pestano ended the inning. Chris Perez struck out the side in the ninth for his 16th save in 17 chances.

A.J. Burnett (6-5) rebounded from a battering by Boston and took the hard-luck loss. He gave up five hits in 7 2/3 innings, walked one and struck out eight.

All eyes, and cameras, were on Jeter when stepped to the plate in the first. He looked fine when he grounded out in the second and seemed to be having no problems at shortstop.

But the New York captain clearly was ailing as soon as he hit a fly to right field in the fifth. He was limping with his first step out of the batter's box - he wasn't totally hobbled, though it was apparent something was wrong - as he made his way down the line. He touched first base after the ball was caught, returned to the dugout and left the game.

Eduardo Nunez replaced Jeter to start the top of the sixth. There was a slight murmur in the crowd of 43,551 when the public-address announcer told fans that Nunez was the new shortstop.

Jeter is trying to become the first player to reach 3,000 hits while with the Yankees.

Approaching his 37th birthday, he had been in a pronounced slump to start the season.