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4/11/2014 2:36 A.M. ET

Oblique keeping Beckham off the field

CHICAGO -- The White Sox are allowing Gordon Beckham's strained left oblique to calm down after the second baseman tweaked the injury during a Minor League rehab assignment with Double-A Birmingham. Beckham's only game with the Barons came as a designated hitter on April 3.

"There's a chance he returns in the next few days," said White Sox general manager Rick Hahn of Beckham. "He was re-evaluated by our doctor in Birmingham.

"We think things are calming down. He's going to start swinging again today and hopefully work his way back into the lineup in the coming days."

Hahn added that there is no overall timeframe for Beckham's return to the White Sox.

"Specifically, we've got to get him back and seeing live pitching on a regular basis before I can give you a timeframe," Hahn said. "He was having a little trouble getting loose in pregame, and we decided to pull him back, and the next day he still had localized pain in the oblique.

"Obliques are tricky. You got to make sure it's quiet for consecutive days before he starts to ramp up and remains quiet as we start to ramp up. We are in that ramp-up period, but he's not quite ready for the lineup yet."

Viciedo trying to stay patient at the plate

CHICAGO -- Patience has been a much needed virtue for Dayan Viciedo through the first nine games of the 2014 season. Or maybe selectivity is the better word.

The free-swinging outfielder has been working with White Sox hitting coach Todd Steverson since Spring Training on swinging at strikes and not expanding his zone. Viciedo drew three walks in his first seven games, after not drawing his third walk until May 12 of last season.

"That's the plan, to work on that, a lot of strike-zone discipline," said Viciedo through translator and White Sox manager of cultural development Lino Diaz. "But more important than that is staying more consistent with the plan and staying with your routine every day.

"We'll do our best to stay with that, and it's very important to have a lot of confidence in myself. So far it hasn't been that difficult, so we just have to stay disciplined with it."

Viciedo had a bit of a setback Wednesday in Colorado, with three strikeouts in four at-bats. But overall the results have been positive.

"I call it Viejo Viciedo, which is old Viciedo. It's kind of a joke we have going," said a smiling Steverson of Viciedo's Wednesday effort. "But he has made a really conscious effort since Spring Training up until this point to really be able to zone up what he can do and use his abilities to his fullest."

Jordan Danks plans to build on strong spring camp

CHICAGO -- White Sox outfielder Jordan Danks had a different feeling when he was sent back to Triple-A Charlotte during this last Spring Training, knowing the move wasn't about performance following his five-homer, 10-RBI effort.

"It felt good just knowing that it was a numbers issue," Danks said. "They said anything can happen, obviously, with what's going on, and so just to stay ready. And sure enough, here I am a few days later."

The thought regarding Danks' big league opportunity was that he could be promoted if Alejandro De Aza or Dayan Viciedo was traded out of a left-field platoon. Instead, Avisail Garcia's season-ending torn labrum in his left shoulder, suffered in the sixth inning of Wednesday's loss in Colorado, provided this extended opportunity for Danks, who takes on fourth-outfielder responsibilities.

Danks feels prepared to go against right-handed or left-handed pitchers as a left-handed hitter.

"I think I saw more lefties in the last six days than I saw the entire year last year," Danks said. "We got a lot of lefties, and I think we led off the season, actually, with a knuckleballer. It was very unorthodox, but it was a good experience and I got plenty of ABs down there and felt pretty good."

Family Sunday promotion set for this weekend

CHICAGO -- The White Sox first Family Sunday promotion takes place against the Indians this weekend, with many affordable ways for fans to check out the reshaped and revamped South Siders.

Parking is only $10, with tickets in the outfield between the foul poles only $15 and as low as $5 in the upper deck.

"Look at some of the comparisons for any other sporting event in town," said White Sox vice president and chief marketing officer Brooks Boyer of the Family Sunday, presented by the University of Chicago Medicine Comer Children's Hospital. "It's a good deal.

"We brought people to the ballpark [last year] that wouldn't otherwise be coming, and that's a very good thing. We wish the demand for the team could have been higher and we could have drawn a few more people. But it would have been less if we had not done this type of promotion."

There also are free pregame autographs and a chance for kids to run the bases postgame to go with the discounted ticket prices Sunday. Additional entertainment includes face painters, balloonists, a caricature artist, magnet art and a photo opportunity with the White Sox Broadcast Dashers.

"It's a good feeling to get people out who some told us they otherwise would not be able to go," Boyer said. "Come and bring friends and family because price is no longer an issue."

Third to first

Jeff Keppinger played three innings Wednesday in an extended spring game in Arizona, as the infielder works his way toward a rehab assignment. Pain in Keppinger's surgically repaired right shoulder when he tried to throw the ball left him on the disabled list to start the season and forced him to basically restart his rehab program.

• The White Sox have made a Major League-best 973 quality starts since 2003, three more than the Angels.

Prospect Courtney Hawkins has three homers, four doubles and 12 RBIs over six games this season for Class A Advanced Winston-Salem.

• The White Sox acquired outfielder Gorkys Hernandez from the Royals and assigned him to Triple-A Charlotte, taking the spot of Jordan Danks, who was called up to the big leagues on Thursday. Hernandez last played in the Majors in 2012 with the Pirates and Marlins. He'll report to Charlotte on Saturday.

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.