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6/29/2013 3:28 A.M. ET

White Sox pass by fans attending Blackhawks parade

CHICAGO -- While on their way to work Friday, a number of White Sox players and coaches had a chance to witness some of the two million fans making their way to Grant Park's Hutchinson Field for the rally serving as the end point of the Blackhawks' celebratory Stanley Cup championship parade.

"That was awesome. It was really neat to drive by and see the excitement in the fans," White Sox reliever Matt Thornton said. "Definitely something you want to be a part of as an athlete at some point in your career."

Konerko gets breather as he deals with back pain

CHICAGO -- Paul Konerko had an MRI on his sore lower right back Thursday, and then got six injections Friday in the painful area to potentially calm down the problem.

The captain wasn't scheduled to play in either of Friday's doubleheader contests against the Indians, marking the third and fourth straight games he would have missed. Konerko hoped to get back in action before the four-game weekend set was complete.

"I want to play Sunday, if not tomorrow, but I don't think that's going to happen," Konerko said. "I'd like to take some swings tomorrow and just get right back in it.

"We have a day off Monday, so if I was sore after Sunday, I'd have Monday to rest. But that's at least my goal. I don't know if it's realistic, but that's what I'm shooting for."

After receiving Friday's injections, Konerko said the recommendation was 48 hours of rest. But he quickly added that they would "play around with that" and see how he felt Saturday.

"I'm counting today because we're already on today, so I'm counting today as the first 24," Konerko said. "It was a weird thing. I played Sunday in Kansas City. It was a long, tough game, but there was nothing in that game that made me think I did anything to anything. It was just a game.

"Got up Monday morning and couldn't even erect myself, standing up tall for most of the day. The three days after that were pretty much the same. Just a lot of soreness, no stability, no ability to really move. Really, really bound up.

"Just kind of came out of nowhere. Felt a little improvement Thursday and more today, but not enough where I can play tonight. These injections, I actually kind of had them back in '06 when I had a little bit of a back problem then and they seemed to help out then."

White Sox manager Robin Ventura listed Konerko as day to day before Konerko spoke to the media, but the first baseman admitted that if the pain continues, a trip to the disabled list could be possible.

"If I do get to swing a bat tomorrow or test it out, I'd think at that point I would know, just knowing what you need when you go out there to play, to be honest with them," said Konerko, who is batting .378 over his last 10 games. "If I couldn't do it, I don't want to hold them up. I don't want to be holding the team hostage with one less guy, but we'll see. I haven't tested it really at all.

"But I'll be honest with them and let them really know. If that's what needs to be done, that's what needs to be done, but I don't want to do that. I want to try and stay away from that."

White Sox open for business before Trade Deadline

CHICAGO -- The non-waiver Trade Deadline doesn't seem to come around without the mention of White Sox reliever Matt Thornton as a candidate to be moved. It's been going on since 2008, by the left-handed reliever's estimation, and this year's rumors have been built up by Chicago's poor play.

"I'm not sitting at home all packed up and loaded up ready to go anywhere," said a smiling Thornton. "I worry about taking one day at a time and one pitch at a time. Getting myself ready for today.

"If they call me in, they call me in. That's the game of baseball and the life we live. I think everyone is prepared for the long haul [with the] White Sox."

Jon Heyman of CBSSports.com wrote Thursday night that the White Sox were basically open for business, with everyone but Chris Sale and Paul Konerko available for the right deal. The White Sox, as a rule, don't comment on rumors so did not directly address this report, but manager Robin Ventura believes the trade scenario pretty much represents business as usual.

"That's always the case, I think for most teams. People are available if the right trade is there," Ventura said. "Even being a player, you are a pro and you do whatever you have to do. If your name comes up, it is a distraction to a degree if you are a player that you specifically are targeted.

"There are rumors flying around. We are pros and you have to be able to handle it. That's part of the game. The focus is still coming out here trying to win this game, whether that stuff floats out there or not. You can't control that stuff."

Thornton knows the best way to keep as much of this team together as possible is for the White Sox to start winning. General manager Rick Hahn already might have made his decision based on a couple more rough losses this week for his team.

"It's a possibility, but at the same time, you've heard rumors for years and they are not going to give players away just because we are struggling," Thornton said. "We need to get on a streak where it makes it hard for them to break our team up."

Wise injures oblique during Triple-A rehab stint

CHICAGO -- Dewayne Wise was preparing for the final game of a Minor League rehab stint with Triple-A Charlotte in conjunction with a strained right hamstring -- which had sent him to the disabled list retroactive to May 30 -- when he injured his right oblique.

"I was taking batting practice and it felt like I got stabbed in my side," said Wise on Friday. "That's where I'm at with that. I'm going to go out in the cage and take some swings off the tee and go from there.

"Nobody wants to be on the DL. Just seeing your boys out there struggling, you just want to do whatever you can to get back and help. Now there's another injury, so that's set me back a while. I'm just trying to keep a good attitude about it, just keep working and try to get better."

Wise doesn't believe the injury is as serious as a pull, but has no real timetable for his return.

"Whenever I can turn on an inside pitch, I'll probably go back down to Charlotte and play in a few rehab games," Wise said. "That's where I'm at now. Just hitting the ball the other way and up the middle, it's not that bad. But once I try to crank it up a little bit and pull the ball, that's when it really bothers me."

Ventura not questioning club's effort despite comments

CHICAGO -- Manager Robin Ventura was not pleased with his "listless offense" during Wednesday's 3-0 loss to the Mets, calling it unacceptable. But Ventura made clear Friday that he certainly wasn't questioning his team's effort with those comments.

"I just think the way it looks as far as guys have effort and all that stuff," Ventura said. "It's a team game, and everybody has to have their at-bat that shows that it's a team game. You have to do your job and things like that. Just the way it looks. Effort-wise, there's guys definitely giving effort."

Ventura added that he's never had a single problem with a player not giving full effort during his managerial tenure.

"Just because somebody doesn't do well, it doesn't mean they aren't trying," Ventura said. "We haven't had anybody here that has gone out there and you thought he wasn't trying his best. When you see that, that's to me the ultimate in not respecting the game, and he wouldn't be playing."

Third to first

• White Sox right-handed pitcher Dylan Axelrod and White Sox coach Mike Kashirsky had their numbers retired by the Windy City Thunderbolts of the Independent Frontier League before the Thunderbolts' game on Thursday night. Axelrod was honored with jersey No. 23 and Kashirsky with No. 1, with Addison Reed, Jordan Danks and coach Lino Diaz also in attendance. Axelrod pitched for the Thunderbolts, while Kashirsky played and coached for the team.

• Prior to Friday's doubleheader, third baseman Conor Gillaspie was reinstated from the paternity leave list. Brent Morel, who was recalled from Triple-A Charlotte on June 26 to take Gillaspie's roster spot, remained with the White Sox for the doubleheader as the 26th player.

Following Cleveland's 19-10 and 9-8 victories Friday, Morel was returned to Triple-A Charlotte. Right-handed pitcher Brian Omogrosso, who allowed nine runs over 2 1/3 innings in Game 1, also was optioned to Charlotte. A corresponding move will be made prior to Saturday afternoon's contest.

• Only the Angels have played as many one-run games this season (29) as the White Sox. Chicago is 12-17 in those contests.

• The seven hours and 53 minutes needed to play Friday's doubleheader broke the old Major League record (7:39) for two nine-inning games set by the White Sox and Rangers on May 24, 1995.

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.