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7/31/2014 1:13 A.M. ET

Personal stats nice, but Abreu wants to win

DETROIT -- As a member of Cienfuegos of Cuba, Jose Abreu once put together a 31-game hitting streak. He also hit .453 with 33 homers and 93 RBIs over 66 games in 2011. So success did not come as a surprise for the White Sox first baseman.

The quickness and depth of the success might be just a bit startling.

"This is not easy baseball. This is the toughest baseball there is," Abreu said, through interpreter and White Sox manager of cultural development Lino Diaz. "I never anticipated having the success that I had.

"I always thought in the back of my mind that toward the end of the season, I would have some kind of success and be able to accomplish some things. But definitely could not think of or anticipate these kind of things happening."

Abreu, who extended his hitting streak to 19 games on Wednesday night and has hit in 36 of his past 37 contests, said that back soreness he has dealt with recently is nothing more than normal wear and tear from a long season. As for talk of the Major League leader in home runs, RBIs and slugging percentage moving into American League Most Valuable Player consideration, that sort of talk remains second to team concerns.

"Any kind of achievements that I get, that's great. But that's not what I'm concentrating on," Abreu said. "I'm thinking about the White Sox going farther and I'm thinking about us going to the playoffs. That's what I'm locked in on every day."

White Sox top pick Rodon debuts at Class A

DETROIT -- Carlos Rodon made his debut for Class A Winston-Salem on Wednesday afternoon by throwing one inning against Frederick during a 12-2 victory for the Dash. The 21-year-old southpaw allowed two runs on one hit, striking out three and walking two.

In three Minor League appearances since the first-round pick in the 2014 First-Year Player Draft signed with the organization, Rodon has fanned eight in four innings between stops with the Dash and the Arizona Rookie League White Sox.

"He's still getting his feet wet in pro ball, obviously, but one thing that has stood out the most as we've gotten to know him better is his professionalism and work ethic," said White Sox general manager Rick Hahn. "He's extremely talented.

"We've all seen the stuff, but once you get to know the player and his makeup, and it's confirmed what our scouts had in their reports, it certainly gives you a good feeling. It bodes very well for his future."

There's a solid chance Rodon, the organization's top prospect, could see time with the White Sox bullpen this season, following the Chris Sale development path from 2010. Sale was the 13th pick overall that season, compared to Rodon at No. 3 in '14, and appeared in 11 games combined between Winston-Salem and Triple-A Charlotte before getting the call.

Avisail, Lindstrom ready to go on rehab assignments

DETROIT -- Outfielder Avisail Garcia and right-handed reliever Matt Lindstrom begin their respective injury rehab assignments Friday with Triple-A Charlotte, as announced Wednesday by general manager Rick Hahn.

Garcia has been out of action since sustaining a torn labrum and an avulsion fracture in his left shoulder while diving for a fly ball in right field on April 9 in Colorado. The right fielder was deemed to be out for the season following surgery, but told MLB.com in early June that he still had plans of playing this season.

"This rehab assignment is the next step in the process, getting him in live game action on a consistent basis," said Hahn of Garcia, who will begin at designated hitter during this process that could last three weeks and work his way into the outfield. "Not only to get him back to a playing standpoint he's accustomed to, but also a physical standpoint, making sure that he can withstand it and is physically able to perform at the big league level.

"It certainly is done with the hope that the next stage is activation to the Major League roster. But at the same time, as we've done for the past several months with his rehab, we're going to respond to how he feels physically and how he is from a symptomatic standpoint and obviously err on the side of caution."

Lindstrom has been out of action since May 19, when he damaged the tendon sheath in his left ankle. Manager Robin Ventura said that the role for Lindstrom, who served as closer before he was injured, would be decided upon his return.

"Part of it is going to be the lateral movement, getting off the mound, a lot of the drills he's been put through and some of the things that were tested in the two simulated games he had," Hahn said. "The arm strength, he's been able to maintain that fairly decently through his layoff, but it is a matter of making sure the stuff and the arm strength is at the previous level before he's activated."

Third to first

• As Thursday's 3 p.m. CT non-waiver Trade Deadline approaches, the White Sox continue to look as if they will come away on the other side with the same roster intact.

John Danks remains in line to start the afternoon finale at Comerica Park. A player such as shortstop Alexei Ramirez, who emerges as the team's most valuable trade chip, would demand a large return, considering the White Sox don't have a true shortstop behind him.

"You are probably going to see the same guys that are here right now," White Sox manager Robin Ventura said. "Not anticipating anything. We'll continue to do what we are doing here and not worry about it."

Conor Gillaspie needs eight plate appearances over the final two games in Detroit to qualify for the AL batting leaders. Gillaspie's .327 mark would have placed him tied for second with Robinson Cano entering Wednesday's action.

"The more I look into that, the more disappointing it gets when you don't do well," Gillaspie said. "The biggest thing is to stay the course, focus on things you can control and at the end of the year, wherever that is, it would be a good feeling to know you made adjustments and learned over the course of a year."

Adam Dunn went 1-for-4 with a homer, walk and two strikeouts during Tuesday night's victory over the Tigers, marking his 123rd game with at least one homer, one walk and one strikeout. It's the fifth-most such games all-time, trailing Jim Thome (154), Mark McGwire (133), Babe Ruth (125) and Barry Bonds (125).

• Olympic gymnast McKayla Maroney will throw out a first pitch prior to Friday's home contest against the Twins.

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.