Source: Foxsports.com

The Cubs are exchanging names with teams interested in right-hander Ryan Dempster, and the Dodgers, Tigers, Braves and Red Sox all remain in the mix, major-league sources say.

The Red Sox, according to a source, maintain equal or greater interest in Cubs right-hander Matt Garza, who is under club control through next season. Dempster, as a potential free agent, would come at a lower acquisition cost.

The Braves, who sound as if they might be backing off Greinke, also are a logical suitor for Dempster. The Cubs are willing to pay the vast majority of Dempster's salary in exchange for better prospects — condition that likely would appeal to a team as budget-conscious as the Braves.

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