Putnam has a 2.35 ERA and three saves over 33 games for the White Sox.
"It's going fine," said Ventura of Putnam's rehab work. "Most of it when they're with [White Sox head athletic trainer] Herm [Schneider] I let him do it.
"There haven't been any setbacks, I know that. I haven't seen him play catch yet. I don't pay attention to them when they're on the DL."
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.