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06/06/10 2:44 PM ET

Impact player top Draft priority

CHICAGO -- With the 13th pick in the first round of the 2010 First-Year Player Draft, don't be surprised if the White Sox take a college pitcher Monday night.

"That's a high-percentage possibility," said White Sox director of amateur scouting Doug Laumann, speaking to the media Sunday morning, one day before the start of the 2010 Draft. "That's not to say if one or two of the guys in this pool we have is available that we might not go that route."

General manager Ken Williams' Draft philosophy has been to get an impact type of player, at any position, something the White Sox feel they have done during the past two Drafts with Gordon Beckham (2008) and Jared Mitchell (2009) standing as their top picks. Signability, according to Laumann, also will serve as a fairly significant factor in the selection process this year.

"One of the hardest parts of it is just the games that are played before the Draft with the agents in terms of, 'My guy wants this, my guy wants that,'" Laumann said. "I don't want to spend a year's worth of our guys' time scouting and our time and the effort and money to pick a guy off the board that we're not going to sign.

"At the same time, I don't want to pass on a guy to find out that he's signed five picks later. I hope, and maybe in the next couple of years with the new agreement, there's a system set up where we could just line them up, see whose better scouts, take the best guy available and see what happens."

Milestone for Pierzynski coming up

CHICAGO -- Next Monday's off-day for the White Sox, coming on June 14, just might mark an important milestone in A.J. Pierzynski's stellar Major League Baseball career.

"I will just be glad when that day comes because I can stop answering the same question I've been getting every single day," said the White Sox catcher, speaking to MLB.com Sunday.

Pierzynski has become the topic of interest for the past month on the South Side because the free agent after the 2010 season earns 10-and-5 status on this Monday. Having played at least 10 years in the Majors and at least five straight with the same team gives Pierzynski no-trade veto power, but with the White Sox slipping out of contention and Tyler Flowers waiting at Triple-A Charlotte, Pierzynski could be moved before that week runs off the calendar.

Even with this status, though, Pierzynski said Sunday it wouldn't automatically mean he stays in Chicago for the remainder of the 2010 campaign. If the situation makes sense for both sides, Pierzynski would consider consenting to a trade.

"Obviously, if the White Sox aren't where we want to be and a team has a chance for the playoffs and to win the World Series and they come and say, 'Hey, we need a catcher,' it would be hard to say no to that," Pierzynski said. "How would you go about that? That's something [where] my love for Chicago and this organization would be a deciding factor, but it's hard as a player to say no.

"Look at Jim [Thome] and what he went to last year. You have an opportunity to go somewhere and win, if it's not going to work out here. I hope it works out here, first and foremost. I would like to stay here for a long time."

The ultimate goal for Pierzynski hasn't changed: stay with the White Sox for the remainder of his career, not just this week or for the next four months. But as Pierzynski pointed out, it takes "two to tango" where his desire to stay is concerned.

In the interim, Pierzynski is at the mercy of the team, and focused as always in helping the White Sox win some games.

"Nothing has come up on my end that I've heard about," Pierzynski said. "I don't have any say in that for another week, so we'll see what happens. Hopefully, we will win the next seven in a row and get on a roll and this is all a distant memory.

"Everyone knows how I feel about this place. I would like to stay here. But we haven't had any talks, any discussions, and I don't see any coming any time soon. We'll see what happens, and hope it works out and where I can stay and win here.

"That's not a hard [and fast] day," said Pierzynski, referring back to attaining no-trade veto power meaning the end of him getting moved. "It will just get you guys to quit asking me, and that's the biggest thing."

White Sox have had success against Galarraga

CHICAGO -- White Sox manager Ozzie Guillen already has gone on record saying how Detroit starter Armando Galarraga won't throw a perfect game Tuesday night at U.S. Cellular Field. But Guillen is looking forward to talking with his Venezuelan countryman about Galarraga's last week spent in the media spotlight.

"I might talk to him after the game," said Guillen of Galarraga, who opens the three-game series on the mound for Detroit. "He's throwing the ball better. Last year, he struggled.

"There's going to be a lot of attention coming after that game. We are going to approach the same way we approached him in the past and we had pretty good success against him in the past."

Galarraga lost his perfect game against the Indians on Wednesday night, when first-base umpire Jim Joyce missed a call at first base on Jason Donald's grounder with two outs in the ninth. The situation gained even greater national attention through the class shown by Galarraga, Joyce, the Tigers and the Detroit fans in handling the situation.

In five career games against the White Sox, Galarraga has a 1-2 record with a 5.06 ERA.

Winning makes eating more fun

CHICAGO -- Sitting at a season-low nine games under and 9 1/2 games behind the Twins entering Sunday's series finale with Cleveland, the White Sox needed a win just to build any shred of confidence. White Sox manager Ozzie Guillen also wanted a win to help his own day-to-day existence.

"Now it's like begging to win just to have a nice dinner," said Guillen with a smile. "You don't want to sit around thinking about what happened, what's going wrong, what happened the night or day before."

Scott Merkin is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.