Iglesias (shoulder) will begin a rehab assignment with Triple-A Gwinnett on Thursday.
Iglesias got a late start to the season due to inflammation in his pitching shoulder, but he's been throwing off the mound for a while now with no issues. It's not clear how many rehab appearances he'll be asked to make, but it seems reasonable to think he'll be reinstated within a week or so. Iglesias will regain the closer job from A.J. Minter eventually, but it's possible Atlanta will ease him back into the role once activated.