The White Sox have signed free agent Adam Dunn and have retained Paul Konerko. But their bullpen has holes with Bobby Jenks, J.J. Putz and Scott Linebrink gone.

Chicago GM Kenny Williams, after announcing Konerko's new three-year, $37.5 million deal, stated that his bullpen needs to be M&M proof.

``We'll take a look at maybe a third left-hander, situational guy,'' Williams said. ``Someone who can get Morneau and Mauer out and then another right-hander.''