CLEVELAND -- White Sox general manager Rick Hahn was not ready to talk specific Minor League promotions when talking to the media prior to Monday night's series opener at Progressive Field.
That topic will be deferred until after Tuesday's Southern League, Carolina League and South Atlantic League All-Star Games, where the White Sox have 18 players total involved, with director of player development Chris Getz making matters official Thursday.
"Yes, there will be many," Hahn said.
Expect outfielder Eloy Jimenez's move from Double-A Birmingham to Triple-A Charlotte to be at the top of that long list. The No. 1 White Sox prospect per MLB Pipeline is one of the Barons' six All-Stars, hitting .317, with a .925 OPS, 10 home runs, 15 doubles and 42 RBIs.
At 21, Jimenez is the youngest player on Birmingham's roster. Hahn reiterated a perfectly acceptable development plan for Jimenez would have been to spend the entire '18 season with the Barons, but the right-handed hitter playing both corner outfield spots has accelerated that plan.
"He certainly has had a marvelous first half down there," Hahn said. "We've talked about how the good ones sort of have a way of forcing the plan on you. Based on how he continued where he left off at the end of last season down there and produced at a very high level, he's starting to force that issue."
Jimenez ultimately becomes a candidate for a 2018 White Sox promotion, although Hahn didn't get that deep into his future Monday.
White Sox piecing together roster puzzle
The White Sox have a handful of players moving closer to a return to action after being sidelined by injuries. Elite prospects soon could warrant Major League consideration, while some players on the current roster could be trade candidates.
So it's somewhat of a complex time coming up for Hahn in terms of roster construction.
"It's a little different from last year in that the volume of likely potential trade targets from other clubs is a little less," Hahn said. "Or certainly the expectation there will be dramatic turnover is not nearly as high this year as it was last year.
"We unfortunately fell victim to a little bit more of the injury bug over the course of the first half. Over the coming weeks, we'll start integrating those players back in, and either there will be trades or moves back to the Minors for some of the players currently here."
Delmonico on the mend
Left fielder Nicky Delmonico had the cast removed from his right hand Friday after fracturing the third metacarpal when he was hit by a pitch during a game against Texas on May 18. He threw on Monday and can swing with a fungo, after taking one-hand swings with his left hand over the past month.
"I feel like I needed to work more on my top hand. Kind of swinging the last four weeks with my top hand has been helping," Delmonico said. "I'm looking forward to swinging with two hands.
"Every X-ray has gone good. So it's kind of next X-ray, and then we have a plan and then one more and kind of go from there."
Cleveland marks the first trip Delmonico has taken with the team since the injury.
"Watching your team play on TV and not being there, that was the hardest thing. But I've done everything I can to get back," Delmonico said. "I look forward to swinging and doing everything again. It felt good to throw."

Avi getting close
Triple-A Charlotte's off-day Monday also meant an off-day for outfielder Avisail Garcia in his rehab work from a Grade 2 right hamstring strain. He is scheduled to play nine innings in each of the next two games and then be re-evaluated.
"Physically from an injury standpoint, knock on wood, it all seems to be behind us," Hahn said. "It's about getting baseball timing back and his legs under him. Having not played in a game since April 23 it was going to take a little time. I alluded to seven or 10 games when it started, and that would put us somewhere in the vicinity of the weekend."
Third to first
• Jose Abreu returned to first base Monday, after serving as designated hitter Saturday and taking off Sunday.
"I wish I could have given him two or three days," said White Sox manager Rick Renteria of the max-effort Abreu. "But I can't afford to give him two or three days."
• Third baseman Yolmer Sanchez continues to take fly balls in the outfield to be ready in an emergency.