"Part of our responsibility is to stay in contact with clubs and find out how they value our players and see what opportunities there are for us to get better," White Sox general manager Rick Hahn said. "We don't hang up on anybody."
Of course, the White Sox would need a talent haul in return to almost literally knock the cell phone out of Hahn's hands to move any of the aforementioned players, so look for all of them to continue playing crucial roles in Chicago. But talk about one close-to-unmovable player might lead to talks moving on to something more attainable.
"A lot of times, you start off a conversation with them expressing interest in a player you may not be so inclined to move," Hahn said. "Based on their need, it leads to a different opportunity to make a deal that's a little more palatable. It doesn't make any sense to close off any conversation -- even if you know the odds are very long against anything happening on a certain player."
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.