The Chicago White Sox look to be throwing in the towel.
The team distributed a memo to a number of teams in the league on Monday informing them that some Chicago veterans are available in trade, sources told ESPN The Magazine's Buster Olney.
After being swept by the Yankees in New York over the weekend, the White Sox entered Monday's action with a 64-67 record and were 5½ games behind the Tigers in the AL Central.
Players must be acquired by midnight ET on Monday to be eligible for postseason play with their new team.
Thome is batting .252 with 23 homers and 74 RBIs in his fourth season in Chicago. The five-time All-Star is 12th on the all-time home run list with 564.
Dye, who is in the final year of his contract, became expendable when the White Sox claimed Alex Rios on waivers from the Blue Jays. Dye is hitting .262 with 25 homers and 72 RBIs.
Linebrink is in his second season with the White Sox, and the right-hander is 3-6 with a 3.94 ERA in 48 appearances.
Buster Olney covers baseball for ESPN The Magazine.