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8/6/2014 1:01 A.M. ET

White Sox trio makes special visit

CHICAGO -- Manager Robin Ventura, second baseman Gordon Beckham and designated hitter Adam Dunn visited the Family Life Center and the White Sox Infusion Center at the Ann & Robert H. Lurie Children's Hospital of Chicago Tuesday morning as part of the organization's sixth White Sox Charities Week.

The trio interacted with patients and their family members, doing what they can to brighten their day.

"You get to understand what's really important, from the perspective of where you're at and what you're doing when you see families that are going through, kids that are going through what they're going through," Ventura said. "It has always been an important visit for the White Sox to be able to go and do that and gain a little perspective of what you're doing and what your problems are compared to what are real problems."

"It's tough because you see kids that really don't have control over what's going on in their body," Beckham said. "It's hard to see them like that, but it's definitely fun to go over there and make their day a little bit better. Obviously they are not having a great time because they are in the hospital instead of playing with their friends out in the summer."

Beckham told the cute story of his interaction with one girl, Mia, who told him that she didn't particularly love being 4 1/2 and "couldn't wait" until she turns five.

"Like I said, it just brightens their day. When I was growing up, you look at a big league player and you look at him like 'Wow. This is the guy I watch on TV,'" Beckham said. "I'm sure it's fun for them and fun for us too. It's fun to see them brighten up when you walk in the room and especially the ones that are White Sox fans and know what's going on in terms of day-to-day life with the White Sox."

"You're blown away every time you go in there that they would even care," Ventura said. "Even the parents, they're looking for a diversion for part of the time they're in there. It's always tough when you go in there to walk through there and you feel sorry for them, not in a way, you just want to be able to help them and you wish they weren't in there."

De Aza day to day; Beckham gets day off

CHICAGO -- Alejandro De Aza departed Monday's rain-shortened 5-3 victory over the Rangers in the seventh inning after fouling a pitch off his left knee. De Aza wanted to play Tuesday against Texas right-hander Colby Lewis but still felt soreness running.

"I went out there and tested it and it was bothering me for a little bit," said De Aza, who is hitting .234 in his last 13 games after hitting .355 in his previous 34. "I think by tomorrow I'll be on the field."

Hitting the ball off the back leg for a left-hander is a bit rare. But De Aza said that when pitchers are coming at him with sinkers and cutters, it happens.

Gordon Beckham received a mental health day from manager Robin Ventura, with Leury Garcia taking over at second base. Ventura figured it was a good chance for Beckham, hitting .151 over his last 44 games, to work on his swing without the game pressure.

"You see sometimes he's hit it hard and not really gotten anything out of it," said Ventura of Beckham, who will be back in Wednesday afternoon's starting lineup. "A day will be good to recharge, do what you need to do."

Cooper once again out of action

CHICAGO -- Don Cooper, who previously missed 11 games due to vertigo, left Monday's games with the same issue and was not at U.S. Cellular Field on Tuesday. It doesn't seem likely that the White Sox pitching coach will be traveling with the team for four games this weekend in Seattle, followed by two games in San Francisco next week.

"He has a lot of information, so you always like him when he's here," said manager Robin Ventura of Cooper. "He's seen these guys from Spring Training on so just the feeling of having him here and working with the guys.

"But if he's not feeling well, you get a different feel. You feel bad for him. You think he's starting to feel better and he's not. It's our loss that he's not here."

Base thievery a work in progress for Eaton

CHICAGO -- Adam Eaton can get on base. Adam Eaton can hit. Adam Eaton can play a solid center field to anchor the outfield defense.

And Eaton can run, as proven every time he challenges an outfielder by racing from first to third on a routine single. Transferring that speed into basestealing remains a work in progress for the White Sox leadoff hitter.

"That's him taking off and feeling comfortable with it," said White Sox manager Robin Ventura of Eaton, who was 12-for-20 in stolen bases entering Tuesday. "I'm pretty sure he has the speed to be able to do it.

"He's not just going to steal bases just to try to steal them if he doesn't have a good jump. That's a learned trait. Guys are out there and they learn [pitchers'] moves and understand when to go, when to maybe stay there. I think for him that's going to be kind of an evolution."

Ventura believes Eaton has the ability to be a 30-plus stolen base type of player, even without a specific basestealing coach.

"We have guys that can help him do that, but he's going to have to be able to see that and do it," Ventura said. "I don't think it always has to come down to you have to get a stolen-base guy."

Third to first

• Avisail Garcia hit his first homer during his injury rehab assignment with Charlotte in the first inning of Tuesday's 10-1 victory for the Knights. Garcia finished 3-for-5 with three runs scored and is 8-for-15 since joining Charlotte.

• Matt Lindstrom also threw one perfect inning of relief Tuesday, working every other day for the Knights during his injury rehab assignment. Lindstrom could join the White Sox on the next road trip.

• Zach Putnam began an injury rehab assignment with Charlotte on Tuesday, throwing one perfect inning during the Knights' 10-1 victory over Gwinnett. The right-handed reliever was placed on the disabled list July 24 with right shoulder inflammation but could return this weekend in Seattle.

Tyler Flowers entered Tuesday's action with the sixth-most innings by a catcher this season at 780. He also entered Tuesday hitting .458 with 13 RBIs over his last 15 games.

"Catching is a hard position, just because you're always getting foul tips and the demand of the position," Ventura said. "That's why you're always seeing catchers getting days off -- it's hard to be able to catch every day and feel consistent with your offensive stuff.

"That's a tough position to be able to do that in. He's been able to battle through it, and he's pretty confident where he's at offensively."

Flowers ranks among the AL leaders since the All-Star break in slugging (1st, .818), OPS (1st, 1.328), average (2nd, .455), OBP (2nd, .510), RBIs (T7th, 13) and extra-base hits (T7th, 9).

• Right-handed pitcher J.B. Wendelken of Class A Winston-Salem has been named Carolina League Pitcher of the Week for July 27 to Aug. 3 after throwing seven scoreless innings in his lone start on July 30 vs. Frederick. He allowed two hits with a franchise-record 13 strikeouts.

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.