Nate Jones making progress toward return to White Sox’ bullpen

Injured reliever Nate Jones was disappointed with his bullpen session Saturday. Well, just a little bit of it.

‘‘We went 20 pitches, and it went well,’’ he said. ‘‘I was a little bit disappointed on the end because the last four or five weren’t the control I would like. But that will come along, and I was pleased the way it felt.’’

The next step for Jones, who has been on the disabled list since June 13 with a strained pronator muscle in his right arm, is to throw Tuesday. He’ll do that at Class AAA Charlotte because of the All-Star break, and the plan is for him to simulate an inning by throwing warmups, then 15 to 20 pitches. If that goes well, the next step might be a rehab assignment.

‘‘Every day I have to pass X, Y and Z to get out on the field,’’ Jones said. ‘‘Hopefully we can continue to do that.’’

Jones has experience recovering from an injury. That’s helping him get through this situation.

‘‘It’s frustrating at the beginning because it’s happened and you have to go on the DL,’’ Jones said. ‘‘Nobody wants to do that. But I’ve gone through this before and know what I need to do and the hard work it takes to get back.’’

Good times for Abreu

First baseman Jose Abreu was cheering for France in the World Cup and was pleased when their 4-2 victory against Croatia gave them the title.

‘‘Believe me, I’m very happy; I’m very happy for France,’’ Abreu said through a translator. ‘‘I really like that team. I still remember the first time that they won a World Cup. It was in ’98 in France. It was a special moment.’’

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Next for Abreu is another special moment: representing the Sox at All-Star festivities in Washington.

‘‘Spend time with my family, just for them to enjoy the moment and enjoy being at the All-Star Game and to have the whole experience,’’ Abreu said. ‘‘For me, just to represent this organization.’’

Neymar or Moncada?

Teammates taped the name of Brazilian soccer star Neymar on the nameplate above second baseman Yoan Moncada’s locker because of Moncada’s reaction to getting hit in the right knee on a pickoff play Saturday.

The joke is that Moncada looked like Neymar, whose diving and exaggerated writhing in pain after challenges became a meme during the World Cup.

This and that

Sox manager Rick Renteria said it’s possible outfielder Avisail Garcia (strained right hamstring) might return to the lineup after the All-Star break in Seattle.

• Left fielder Daniel Palka’s home run was his fifth in his last 11 games.

• Reliever Bruce Rondon declined an outright assignment to the minor leagues and became a free agent.

• Jason Benetti called the game on NBC Sports Chicago in place of Ken ‘‘Hawk’’ Harrelson, who was sick.