General manager Ken Williams' comments on Sunday, though, made Jenks' return seem less likely and put the right-hander on the list of possible non-tender candidates.
"That's something we have to evaluate strongly because I've been disappointed on a number of levels," Williams said. "And there are certain things that I'm not going to talk about right now."
Jenks, 29, has missed time this season due to a myriad of nagging injuries, including a bout with an inflamed ulnar nerve in his right arm that has kept him out of action since Sept. 4. He has been a staple of the White Sox bullpen since joining the team during the 2005 World Series championship campaign, a sometimes undervalued contributor acknowledged as such by Williams.
But with Jenks earning $7.5 million this season and figuring to receive a raise through arbitration, the White Sox could move in a different direction at the back end of their bullpen.
"What I will say is Bobby Jenks has been good for a long time here," Williams said. "He is one of the reasons we got that banner up here and an '08 division as well. As we sit here, two years after winning the division, I'm not going to criticize one of the guys that helped us get there.
"We'll just make the moves necessary for the continuity of the team and the success of the team."