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02/25/12 5:30 PM EST

Rios prefers center or right

GLENDALE, Ariz. -- There has been talk that Alex Rios, the 2011 White Sox center fielder, could become the 2012 White Sox left fielder, with Alejandro De Aza moving to center. Rios has just one career game in left from the 2010 season and sounded hesitant to make the move when speaking on the topic Saturday.

"I like center and right because those are the ones I've played," Rios said. "It's different. Center and right is different than left. We'll see what happens."

That decision is one of a number of team moves being worked through by White Sox manager Robin Ventura, general manager Ken Williams and their staffs. But Ventura stressed player flexibility during his Saturday media session.

"We'll see kind of how that matches up. There's no concrete thing to it," Ventura said. "Guys will just have to be open to moving around and do what's best for the team."

Beckham hits camp with new philosophy

GLENDALE, Ariz. -- The White Sox have decided to go with an "Appreciate the Game" marketing slogan for the 2012.

But upon reporting to camp four days early on Saturday, Gordon Beckham came up with an alternate saying that could sweep through the clubhouse. Well, it at least applies to the talented second baseman, who is coming off of one of the toughest years of his life, due in large part to a sub-par .230 showing at the plate.

Beckham's humorous but somewhat serious suggestion is "Don't care." He went on to explain the reason behind the thought process.

"There were a lot of things that happened last year that just weren't good," Beckham said. "I said it earlier and at SoxFest: Listen, we all remember last year no doubt. I don't mind talking about it but this is a new year and we've got new coaches and we've got a new attitude.

"I'm going to remember it but I'm not going to dwell on stuff that didn't go my way. I'm just going to work as hard as I can and remember to enjoy it and I think sometimes I take it way too seriously. I want to do so well for this team, the fans, for myself that sometimes it gets too much of me. Just be a little more careful this year, not care so much."

Alex Rios and Adam Dunn joined Beckham on Saturday at Camelback Ranch, with Rios and Beckham getting in a morning workout. Position players aren't scheduled to report until Tuesday.

All three of these players coming off of last year's debacle could follow Beckham's philosophy of having a little more fun and caring a little bit less about the failure that can weigh you down as they search for 2012 comebacks.

"That's not probably my problem," said Dunn of playing looser. "I have enough fun for at least 23 of us. I'll still do that."

"They're hungry, I like that," said White Sox manager Robin Ventura of Beckham, Dunn and Rios. "They're showing everyone else on the team they're in. They're willing to come in and work and do what's necessary."

Ventura sees Lillibridge playing multiple roles

GLENDALE, Ariz. -- As early as last September, Brent Lillibridge talked to MLB.com about his desire to increase playing time by moving back to the middle infield along with outfield duties. New manager Robin Ventura apparently plans on making that desire happen in 2012.

"He can play the outfield, he's a great outfielder. At the plate he was fine," said Ventura. "I would like to see him play the infield. I think he has value as an infielder."

Lillibridge took a few flips at shortstop during Friday's informal workouts, with position players not scheduled to report until Tuesday. He would like to build on last year's breakout effort, courtesy of his great outfield defense, .258 average and 13 homers, but also honestly expressed the individual importance of this upcoming season.

"It's a big year for me personally, just to get into arbitration and really hopefully get a big payday for myself but also hopefully I get a lot of at bats and really help this team," Lillibridge said. "I'm really excited to see where we can go this year.

"I feel comfortable. It's just real easy," Lillibridge said of adding infield play to his extensive repertoire. "Everything's moving forward toward first base at that position. You're never turning your back. It's just getting used to it, getting the arm strength and letting loose."

Reed sends support to his Hall of Fame coach

GLENDALE, Ariz. -- Addison Reed sent out strong support to Tony Gwynn, the affable Hall of Famer who also served as Reed's head baseball coach at San Diego St. Gwynn recently had surgery to remove a cancerous tumor on the right side of his face, along with a nerve that had intertwined with the tumor in his right cheek, that also was replaced during a surgery taking 14 hours to complete.

"It's terrible, but he's one of the nicest guys, toughest guys. I don't think he'll have any problem overcoming everything," said Reed of Gwynn, whom he stayed in contact with during his 2011 season. "I heard they removed it well and everything is good. Hopefully he's good. He's a strong guy and best wishes to him."

First to third

White Sox chairman Jerry Reinsdorf celebrated his 76th birthday on Saturday.

• Hitting coach Jeff Manto made a trip to Houston to work with Adam Dunn after SoxFest, as confirmed by White Sox manager Robin Ventura Saturday. It was an idea Dunn mentioned as a possibility back in late January during his interview at the Palmer House Hilton.

"I kind of talked to him to see what he's kind of thinking for spring and things like that," said Dunn of his offseason dealings with Manto. "But again, we have six weeks here so we'll iron it out."

• Jake Peavy has been bothered by a right eye infection and missed pitchers' fielding drills on Saturday. But he threw a solid bullpen while wearing sunglasses and said the medication was helping the infection improve.

• Addison Reed and Chris Sale were two of the pitchers who stood out during Saturday's bullpen sessions.

"They're getting everybody out. I know that," said Ventura, when asked if he could take anything from the early bullpens. "As long as nobody is feeling a twinge, I'm happy. They're happy. They're having fun, letting it go. That's really all we need to do at this point until we start having games and that's when the competition starts and you see what they have.

"To see them throw is important for me to have an idea about them. But as long as they get through it unscathed and get them on the field in a real game, that's what I'm looking for."

Scott Merkin is a reporter for MLB.com. Read his blog, Merk's Works, and follow him on Twitter @scottmerkin. This story was not subject to the approval of Major League Baseball or its clubs.