TUCSON, Ariz. -- White Sox manager Ozzie Guillen caught one of the three ceremonial first pitches thrown out before Monday's charity game with the D-backs, with all proceeds from this contest benefiting the Christina-Taylor Green Memorial Fund. Guillen caught the pitch from Dallas Green, the older brother of Christina, who was tragically killed during a shooting in Tucson on Jan. 8 in which Congresswoman Gabrielle Giffords was the target.

Guillen shook hands with all the individuals partaking in this opening ceremony, and then hugged John Green, the longtime Dodgers scout and father of the slain girl.

"He's a very strong man," said Guillen of John Green, who held a press conference with his son and wife, Roxanna, before Monday's game. "The way he handles himself, the way people know this guy has to get up every morning and people will be talking about it for the rest of his life. You have to be strong to survive and overcome that big problem."

Being part of Monday's contest served as a special moment for Guillen, who has great fondness for the city of Tucson.

"I got tears in my eyes when those kids came up and shake my hand," Guillen said. "Those kids were very excited. The crowd here in Tucson was amazing. They support the ballgame and I'm very glad to be here and be part of this."

Walker letting sluggers go at their own pace

TUCSON, Ariz. -- Call Monday a breakout day for the White Sox offense.

In split-squad action against the Indians and the D-backs, the two squads combined for 28 runs on 31 hits. Alex Rios knocked out two home runs at Camelback Ranch, while Alexei Ramirez hit two home runs during the club's return to Tucson.

It has been a quiet start to Spring Training offensively for accomplished veterans such as Rios, Adam Dunn, A.J. Pierzynski and Carlos Quentin. But that silence certainly hasn't triggered a feeling of panic in hitting coach Greg Walker.

"Remember, we've got three or four guys who don't pick up the bat before Spring Training," said Walker, prior to watching his group score seven in the seventh against Arizona. "But they are veteran players.

"If it was a [Brent] Morel or [Gordon] Beckham, I might suggest getting some work done. You are talking about Dunn or A.J., who have been in the league for 10 years, and the back of their baseball card has pretty good numbers. We let them go about their business in the winter like they want."

Dunn's lack of swings during the offseason already has been talked about upon the slugger's arrival. Walker mentioned that Rios and Pierzynski don't really swing either. But they've worked at their craft long enough to understand it's a plan they want to follow.

"So, the first couple of weeks of Spring Training is about just getting timing down," Walker said. "As long as they are not frustrated, I'm not.

"You see them starting to climb. That first week was frustrating, but you start to see them climb in pregame work and get game results."

Building to the start of regular season is not a bad offensive plan to employ, with Walker using Mark Kotsay as an example to the contrary from last spring.

"He might have had the greatest spring of anyone I ever coached," said Walker of the current Brewer. "He hit a hard .500, but then on Opening Day, he had a bad day, and he was feeling, 'What's wrong with me now?' Everyone here is ascending."

The Greatest to visit White Sox on Tuesday

TUCSON, Ariz. -- Muhammad Ali will visit White Sox camp on Tuesday morning, with an appearance before the players scheduled for 11:30 CT. The White Sox will not have morning workouts.

"It will be an honor to have him in our clubhouse," said Scott Reifert, White Sox vice president of communications. "In a Major League clubhouse you always have different cultures and nationalities, but when you tell them Muhammad Ali is coming, you get the same reaction: lots of respect, lots of excitement. It will be exciting for the guys to meet him tomorrow."

Ali's visit will focus on his Athletes for Hope Foundation. White Sox general manager Ken Williams is friends with Ali and his wife Lonnie, and White Sox manager Ozzie Guillen has met the champ on a few occasions.

"A lot of kids are in camp and they have a chance to see, I don't want to say one of the greatest boxers in the history, but one of the greatest men ever born in this country," Guillen said. "Those kids should be proud to meet him and to the White sox organization, it's an honor to have him in camp. It's a great inspiration for a lot of people."

Jackson renews acquaintances

TUCSON, Ariz. -- Edwin Jackson worked the single-game high-inning total for a White Sox pitcher this spring by pitching 3 1/3 in Monday's 12-1 victory over the D-backs. Jackson fanned two and didn't walk a hitter.

The right-hander also had a chance to meet up with old friends from the D-backs, who traded Jackson to the White Sox last season.

"Getting traded as much as I have, I get a lot of chances to see old friends," said Jackson with a laugh. "But it's always fun to play people you know on a personal level."

Third to first

The White Sox are expected to make a few roster moves on Tuesday. ... Chris Sale fanned three in two innings of relief in Tucson. Josh Kinney also threw two scoreless innings. ... The White Sox put up seven-run innings in each of their games played Monday -- in the second inning of their 16-16 tie with Cleveland and in the seventh of their 12-1 victory over the D-backs.