GLENDALE, Ariz. -- Don Cooper remains a "12 guy," meaning he would like seven relievers to break camp from Arizona with the White Sox for a total of 12 pitchers.

The White Sox pitching coach believes manager Ozzie Guillen is of the same thinking, although general manager Ken Williams might be more inclined to leave with 11. Those different ideas will be settled during upcoming meetings, but Cooper indicated to MLB.com that the last spot won't solely be reserved for a long reliever.

If Jake Peavy joins the White Sox to start the 2011 campaign, the thought process would be to have another reliever to back up the recovering starter in case he's limited to the neighborhood of five innings. Phil Humber and Lucas Harrell are the names most consistently placed into that category.

But if Tony Pena can work the middle once again due to the White Sox bullpen depth, then Cooper threw out the names of Brian Bruney and Shane Lindsay as other potential 12th-pitcher candidates. They are more one-inning sort of relievers but have caught the eye of the pitching coach.

"Bruney, I'll say this, he's an interesting guy for me," said Cooper of the 29-year-old right-hander, who has four seasons of time with the Yankees and two with the D-backs. "He has that experience, and when push comes to shove, I like guys with experience, in that we kind of know what they are going to give us.

"Shane Lindsay, we are messing around with some things to help him throw more strikes," said Cooper of the 26-year-old Australian, who made a scoreless Cactus League debut Sunday, earning praise from Guillen. "He has a quality arm, real quality. I'm liking what he's doing. We will be seeing a little bit more of him to see what we see in games. We've taken some time to work on a few things before quote unquote unveiling him."

Cooper mentioned that Bruney was a click behind throwing in the offseason because of a lingering shoulder issue, but White Sox head athletic trainer Herm Schneider helped get Bruney right.

"He commands the fastball, his cutter to both sides and has a good changeup," said Cooper of Bruney. "That's working in his favor. I want to see if he continues to climb."

In order for a seventh pitcher to be taken, though, Cooper made it clear someone would have to earn the spot.

"Many names are involved with that competition," Cooper said. "Nobody as we speak is jumping up and making us all take notice. But then again, it's early."

Buehrle unfazed by Royal drubbing

GLENDALE, Ariz. -- One thing is certain about Mark Buehrle's Spring Training preparation: His two-time-defending Gold Glove skills certainly haven't disappeared.

Buehrle snared a Lorenzo Cain comebacker leading off the third, in what turned out to be the highlight of his three innings. Buehrle gave up five runs on nine hits but certainly didn't seem bothered by the Cactus League drubbing.

"It was just one of those games I was glad to get out down here," Buehrle said.

Despite facing the American League Central's Royals, whom Buehrle could face in the regular season's second week, he used all of his pitches.

"I was throwing everything out there," Buehrle said. "It wasn't like last year, where I had two pitches and they told me not to throw everything. I was working on a few things.

"Pitches I like to throw during the season, we threw a little more out there today. But it wasn't like I was told not to throw stuff."

Poor record provides little worry

GLENDALE, Ariz. -- White Sox manager Ozzie Guillen joked that his team has "one more day off" for Monday's split-squad action with the D-backs in Tucson and the Indians at home. Guillen reiterated that he wants to see the his club's overall play pick up a little bit by Tuesday.

Mark Buehrle, who was tagged for five runs on nine hits over three innings, urged everyone not to read too much into the team's 1-6 start following Sunday's 8-3 loss to the Royals.

"Well, I don't know how many times we've played as a group," Buehrle said. "There are a couple of times we've been out there four or five innings and then bring other guys in.

"I'm not too worried about it. Once the team starts getting cut down and we have our main guys in there, we will start playing better."

Guillen honored to be part of charity game

GLENDALE, Ariz. -- Adam Dunn and hitting coach Greg Walker were just a few members of the White Sox organization who asked to make the two-hour bus ride to Tucson on Monday, in order to be part of a charity game with the D-backs. All proceeds from the contest will benefit the Christina-Taylor Green Memorial Fund.

Although the reason for the game is tragic, manager Ozzie Guillen is honored his team will be part of the event to help the Fund and the city of Tucson. Green, the daughter of Dodgers scout John Green and grand-daughter of former Phillies manager Dallas Green, was killed in the Jan. 8 shootings that also gravely injured Congresswoman Gabrielle Giffords.

"That's the least we can do for Tucson, the city," said Guillen of the place where the White Sox held Spring Training from 1998-2008. "They treated us very well.

"[It was] a very sad moment we went through a few months ago, but it's very important for me and our players go there and be a part of that. I love Tucson and everyone knows that. Great town, and I had a great time there. I have a lot of respect for people there."

Third to first

Right-hander Jake Peavy threw an easy side session on Sunday morning and stayed on track to make his second Cactus League start Wednesday in Scottsdale, Ariz. ... Brett Lillibridge scored the club's second run in the seventh on Sunday by hustling home from third on Blake Wood's wild pitch that didn't roll too far away from the catcher. ... Adam Dunn showed his defensive aptitude at first by digging out Lillibridge's low throw on a David Lough grounder to end the fifth. ... Dayan Viciedo gets another start in right field Monday against the Indians during split-squad action at Camelback Ranch.