There isn't anything else to back up this story, and given the ChiSox decision to designate Pablo Ozuna for assignment, moving Jenks to the disabled list would be an interesting move.
The Sox are being rather tight lipped about Jenks to begin with, which makes me wonder how much pain Jenks is actually in. That is, the Sox trainers could be thinking that Jenks will be out for a substantial amount of time, not revealing that information would not handcuff Kenny Williams into making a move.
On July 7th, the day after Jenks threw a bullpen session, the Chicago Sun Times quoted Guillen as being guarded and cautious regarding Jenks.
"He just threw a couple balls here and there," said Guillen, adding that Jenks had "a little setback" in not being able to throw on the side earlier. "We'll see how he reacts the next few days, but if Bobby doesn't respond, it's not necessary to take a chance [rushing him back]."
The report continues suggesting that this is an ideal time to shut Jenks down. With only a handful of games remaining before the break, avoiding the temptation to rush Jenks back will not hinder the club to a great degree.
Or maybe all of this is just the White Sox trying to win a headline or two in the windy city. I hear some Canadian with great side burns is making noise down there.