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5/15/2013 9:05 P.M. ET

Teixeira plans to return before May ends

NEW YORK -- Yankees first baseman Mark Teixeira is pleased by his progress as he works his way back from a torn tendon sheath in his right wrist, and he hopes to rejoin the big league squad by the end of the month.

"It's great -- I couldn't be happier with my rehab," Teixeira said. "I'm looking at the end of May, sometime around the 30th or 31st maybe, to get back out there playing with the Yankees. I'm feeling great."

Teixeira has been working out at the Yankees' training complex in Tampa, Fla., and has been taking batting practice on the fields.

"I would say the next step would be some live BP; we're not there yet," Yankees manager Joe Girardi said. "Then maybe some sim games, hopefully, then some rehab games. That's the progression, but we're still in the BP phase."

Girardi said that he did not want to put a timetable on Teixeira's return to the big league lineup.

"When he feels that he's ready," Girardi said. "Sometimes you worry about switch-hitters a little bit more because they may not be able to get 25 and 25 [swings], or whatever it is. The one thing about a simulated game is you can use your pitchers and give him swings from both sides. You may see him do a few more of those, as opposed to regular games."

In reaching Yanks, Adams sees work pay off

NEW YORK -- The Yankees are giving David Adams an unforgettable present for his 26th birthday. The rookie celebrated the occasion on Wednesday by making his Major League debut at third base at Yankee Stadium and recording his first hit with a sixth-inning single off right-hander Hisashi Iwakuma.

Adams was signed to a Major League contract and selected to the Yankees' roster from Triple-A Scranton/Wilkes-Barre on Wednesday, completing a rebound sequence after he was released by New York during Spring Training and then re-signed to a Minor League deal.

"A whirlwind -- it's been a rollercoaster ride, for sure," Adams said. "Back in Spring Training when I got released, [there was] a lot of disappointment, frustration. And then it's into, 'You know what? I've just got to turn it back around and get focused and continue to work hard.' And here we are."

In order to create room on their 25-man roster, the Yankees designated infielder Chris Nelson for assignment. Yankees manager Joe Girardi said that he plans to use Adams at third base, second base and first base.

"We like his bat," Girardi said of Adams. "We've always liked his bat, so he's going to get a shot. He knows how to play the game, we like the way he swings the bat and he's had success in his career offensively. We think he can help."

In 27 games at Triple-A, Adams was batting .316 (31-for-98) with 15 runs scored, six doubles, three home runs, 12 RBIs and 13 walks after being sidelined with a back injury this spring.

Adams was released by the Yanks on March 26 to create room on the 40-man roster for Vernon Wells, but he decided to re-sign with New York because he believed the club still represented his best chance to get to the big leagues.

"They said, 'Look, we like you. We like what you bring to the table,'" Adams said. "I wasn't healthy. They said, 'Look, it's a business move,' and I understood that. It's a business at the end of the day.

"There's always hope, especially with the injuries that have occurred this year. That was definitely in the back of my mind, and that definitely played a role in my signing back."

A third-round selection of the Yankees in 2008, Adams was nearly packaged with former top prospect Jesus Montero in a July 2010 deal with the Mariners that would have brought left-handed pitcher Cliff Lee to New York.

The Mariners balked late in the negotiations because they found that Adams was suffering from a high ankle sprain, shipping Lee to the Rangers instead when the Yankees refused to replace Adams with Ivan Nova or Eduardo Nunez. Adams' injury was later revealed to be an ankle fracture.

"There's still people who come up to me and question me about it," Adams said. "I've never thought anything of it. Trades fall through all the time. Who knows what was going on behind the scenes? That's the way I look at it. I'm here today, and that's all I worry about."

Yanks to evaluate Joba before activating him

NEW YORK -- The Yankees are considering activating right-hander Joba Chamberlain after the reliever turned in a successful one-inning outing for Triple-A Scranton/Wilkes-Barre.

Chamberlain started on Tuesday for Scranton/Wilkes-Barre at Toledo and pitched a scoreless frame around two hits, throwing nine of his 12 pitches for strikes.

Chamberlain -- on the disabled list, retroactive to April 28 -- is working his way back from a right oblique strain, and manager Joe Girardi said he wanted to consult with general manager Brian Cashman about activating Chamberlain.

"I want to talk to him and talk to Cash and see, 'Does he need another one? Is he OK?'" Girardi said. "I just want to see how he feels first."

Bombers bits

• Yankees infielder Kevin Youkilis hit tee-and-toss on Wednesday in Tampa, according to Girardi. Youkilis has been on the DL with a lumbar spine sprain since April 30, retroactive to April 28.

• Mariano Rivera recorded his 16th save on Tuesday in the Yankees' 39th game of the season. It marks the fewest number of team games needed to reach 16 saves in his career; Rivera's previous best was 45 team games, in 2004.

• On this date in 1941, Joe DiMaggio's 56-game hitting streak began with a single off Eddie Smith in a 13-1 loss to the White Sox at Yankee Stadium.

Bryan Hoch is a reporter for MLB.com. Follow him on Twitter @bryanhoch and read his MLBlog, Bombers Beat. This story was not subject to the approval of Major League Baseball or its clubs.