TAMPA, Fla. — Mark Teixeira says he has a partially torn tendon sheath in his right wrist and didn’t rule out missing up to two months of the season.

The first baseman rejoined the New York Yankees at spring training Sunday after getting hurt March 5 while with the U.S. team at the World Baseball Classic. The injury initially was announced as a strained wrist.

“The tendon is fine,” Teixeira said. “That’s the good thing. It’s the sheath that holds the tendon over. ... It’s the little covering that holds the tendon in place. When you rotate your wrist, that tendon will snap in and out if the sheath is gone, and so the tendon sheath just got damaged a little bit, and we just want to make sure that the tendon is sitting in the groove right and it’s stable. If that doesn’t heal, then the tendon has a chance to get damaged, and you really don’t want that.”

Teixeira plans to start limited baseball drills in about a week and is optimistic that surgery will not be necessary.

He was hurt while swinging a weighted bat left-handed off a tee in an indoor cage during pregame warmups with the U.S. at the World Baseball Classic. The Yankees have said Teixeira will be out until at least May.

“The good thing is it’s nothing major, nothing where I’m missing a whole season,” Teixeira said.

“It has nothing to do with the WBC,” he said. “It would be one thing if we weren’t playing games. We started playing games on the 23rd of February. February 23rd, think about it.”

“So we’re playing games,” Teixeira added. “It doesn’t matter if you’re WBC, doesn’t matter if you’re spring training, I was hitting off a tee. It was a freak injury. If nobody was playing baseball and we decided to show up in January or February and start playing nine inning games, then people would say, ‘OK, what is this WBC?’ but we’re playing games.”

Teixeira said he expects to start swinging a bat one-handed and fielding grounders after a week of cardio work. He said the wrist is stiff, but there is no pain.

“This is something that if I come back early, I’m not going to be very good and I can blow it out and risk surgery, and then I’m gone the whole year,” Teixeira said.

Left-hander Andy Pettitte and closer Mariano Rivera are slated to take part in minor league games Monday.

Phil Hughes is to throw in his first simulated game Monday since being sidelined by a bulging disk in his upper back on Feb. 18. The right-hander could miss his first turn in the rotation.

Shortstop Derek Jeter is listed on the travel roster for Tuesday’s game against Philadelphia in Clearwater. The Yankees captain played consecutive games in the field Friday and Saturday for the first time since ankle surgery last October.

“Try to play him a couple days in a row again and go from there,” manager Joe Girardi said.

Reliever Boone Logan, out because of a sore elbow, will pitch in a simulated game Tuesday. Girardi feels there is enough time for the left-hander to be ready for opening day.

Left-handed reliever Clay Rapada, slowed by a shoulder injury, is playing catch, but his opening-day status has not been determined.

New York released Matt Diaz, signed as a minor league free agent during the offseason to compete for an extra outfield spot. The decision to release the 35-year old Diaz came after the Yankees signed outfielders Ben Francisco and Brennan Boesch int he past week.

Dodgers

Greinke throws for first time since March 11: In Glendale, Ariz., Zack Greinke has thrown off a mound for the first time since the Los Angeles Dodgers right-hander was shut down March 11 with inflammation in his right elbow.

Greinke threw 38 pitches Sunday and said he felt good. The session was his first since his right elbow was injected in Los Angeles with plasma rich in platelets. He said he threw all of his pitches.

Greinke missed a bullpen session March 3 because of discomfort in the elbow and he was scratched from a start March 6 because of flu-like symptoms. In all, Greinke has pitched just five innings in two starts this spring.

Greinke, who signed a six-year, $147 million contract Dec. 9, is projected to be the Dodgers No. 2 starter. But it’s not clear whether he’ll be ready for his first scheduled start April 2 against San Francisco at Dodger Stadium.

“I’m assuming it’s going to be fine and that I’m on track,” he said. “But I’m not sure.”

The Dodgers are waiting to see how his elbow feels Monday.

“Then, we’ll be able to get a better indication of where we’re going, whether he’s sore or not,” Dodgers manager Don Mattingly said.

Phillies

Halladay out after one inning because of illness: In Clearwater, Fla., Roy Halladay left Sunday’s start for the Philadelphia Phillies after one inning because of a stomach virus.

Halladay allowed one hit and a walk against the Baltimore Orioles before leaving the dugout before the start of the second inning. He was sweating profusely when he was pitching and at one point bent over behind the mound.

The two-time Cy Young Award winner was roughed up in his last start and said he felt “lethargic” afterward. He insisted he had no injury. Halladay missed almost two months last year with a shoulder problem.

Mets

Wright has no regrets about WBC, injury: In Port St. Lucie, Fla., David Wright wanted to make it clear that playing in the World Baseball Classic had nothing to do with the rib injury he sustained that could cause him to miss opening day for the Mets.

He explained that “you can get hurt in spring training, you can get hurt before spring training,” and that he didn’t get hurt because of the tournament.

Mets manager Terry Collins has expressed concern that Wright will not be ready for opening day. Wright said he is unsure of whether or not he will be able to play on April 1.

in the season-opener against San Diego at Citi Field.

Wright, who signed an eight-year, $138 million contract in December, strained an intercostal muscle in his rib cage while working out in Arizona before the tournament.