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7/12/2014 4:45 P.M. ET

Sale offers advice to Rodon

CLEVELAND -- After being selected with the 13th selection overall in the 2010 First-Year Player Draft, Chris Sale needed just two months and 11 Minor League games to get to the White Sox bullpen. Carlos Rodon, the White Sox top pick in the 2014 First-Year Player Draft and third selection overall who signed on Friday, figures to be on that same fast track, although he has not pitched since May 16 for North Carolina State.

Sale had some basic advice for the talented southpaw, who will try to follow the same development path: Just focus on pitching.

"You are not worried about the ifs, ands or buts," said Sale, who spent parts of two seasons in the bullpen before becoming one of the game's top starters. "It becomes a whirlwind just being in a different scenario in a different game. Professional baseball is different from college baseball. Your main focus is pitching and playing baseball.

"The biggest part is doing the same stuff you've done and not getting away from what got you where you are and throwing strikes. At any level, throwing strikes is the biggest part of pitching."

Beckham not bothered by trade rumors

CLEVELAND -- White Sox manager Robin Ventura gave Gordon Beckham a break on Friday, with his second baseman stuck in a 13-for-99 (.131) slump over his last 26 games.

Ventura also felt that Beckham might be getting a bit overwhelmed by trade rumors involving his name for the second or third year in a row. But Beckham said on Saturday that those rumors had nothing to do with his offensive struggles.

"Trade rumors don't affect how I prepare and how I go about the game," Beckham said. "They are just a distraction if you let them be. Obviously, I've heard stuff. But I haven't tried to think about it too much.

"Earlier in my career, it bothered me more in terms of thinking about it and stuff like that. Now, I understand this is a business and they will do what they feel is best for the White Sox. Hopefully, I'm a part of it for a while. But you know if it happens the other way, it is what it is."

With prospects such as Micah Johnson, Carlos Sanchez and Marcus Semien behind Beckham at second, the White Sox would seem to make a decision on his longer-term fit with the team sometime in the near future -- although not necessary before the July 31 non-waiver Trade Deadline. Beckham understands that he's not yet in a position to request more concrete answers concerning his status.

"I can't be like, 'Well I wish I had more security here,'" Beckham said. "I'm in my second year of arbitration going into my third -- and this is a business, so it's going to be interesting.

"I've done a lot of good things this year so far. I've been in a little bit of a funk, obviously. But the good news is, I already have been doing very well -- so it's just a matter of turning it back on."

Beckham went 1-for-3 with a walk and a pair of RBIs in Saturday's 6-2 win over Cleveland.

Eaton likely to sit out rest of weekend

CLEVELAND -- Adam Eaton was out of Saturday's lineup against the Indians and probably won't play during the first-half finale on Sunday. Eaton is battling a sore right ankle after getting hit by a Corey Kluber pitch Friday, as well as a sore left wrist.

"And his foot. And probably his hamstring. Maybe his neck," said White Sox manager Robin Ventura of Eaton's list of maladies. "The list is very long with him, that I had to read. There's plenty there. He could play, but right now we're hoping [with] these couple of days plus the All-Star break he'll be totally fresh on Friday."

Eaton, who is hitting .317 with runners in scoring position, has reached base in 31 of his last 34 games.

Lindstrom throws a bullpen session

CLEVELAND -- Matt Lindstrom threw a 30-pitch bullpen on Saturday and then did PFP work in the outfield, as he moves closer to a rehab return from surgery to repair the outside tendon in his left ankle that he injured on May 19 while closing against the Royals.

Lindstrom threw all four of his pitches and intends to throw another bullpen while at home over the All-Star break. He has a third bullpen lined up in Chicago when the White Sox return to action on Friday and hopes to soon begin a Minor League rehab assignment.

"No problems with my ankle, and even did some comebackers and covering first out in the outfield. So, it was a good day," Lindstrom said. "[White Sox pitching coach Don] Cooper was even pleasantly surprised.

"He asked me what I wanted to take out of the bullpen session, and I said, 'My mechanics.' I wanted to make sure they are fluid. Obviously, I want to throw strikes. But I think it was even better than expected. It was nice.

"It's going to take another couple of weeks to probably allow my ankle to continue to heal from all the workouts and stuff I've been doing. I'm encouraged."

Third to first

Adam Dunn ranks sixth all-time in terms of home runs hit by left-handed hitters while playing for the White Sox. Dunn hit his 100th over four years with the White Sox on Friday, trailing Harold Baines 221 (14 years), Ventura 171 (10), Jim Thome 134 (four years), A.J. Pierzynski 118 (eight years) and Greg Walker 113 (nine years).

• Rangel Ravelo's Southern League-high 26-game hitting streak came to an end on Friday night at Jacksonville. The 22-year-old Ravelo hit .379 with two homers and 17 RBIs during the streak.

• Sale wanted no part of selecting an AL starting pitcher for Tuesday's All-Star Game at Target Field in Minneapolis. But when pressed on the issue, the White Sox ace went with Felix Hernandez.

"Felix has the body of work and the numbers to back it up," Sale said. "You look at what he's done over the course of the year, he's been dominant. So, if there's a clear-cut person, it would probably be him."

Having last started on Wednesday night, Sale would also be on target to start. But he didn't make a personal pitch.

"I'm just happy to be there," said a smiling Sale. "I got in last minute, so I'm just kind of enjoying the fact that I'm just going."

Jose Quintana will get the first start of the second half this Friday at home against the Astros. No further decision has been made past Quintana, with Ventura and Cooper waiting to see if Sale pitches in the All-Star Game. The White Sox could put right-handers Hector Noesi and Scott Carroll in the Nos. 2 and 4 spots, respectively, to break up the three southpaws.

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.