9:29pm: MLB.com's Scott Merkin concurs, adding that he believes the White Sox have about $4MM to offer Damon.
5:50pm: According to Joe Cowley of the Chicago Sun-Times, Chicago's interest in Johnny Damon is more about "due diligence" than anything else, and if the price tag is around $7MM per season, that is beyond their budget.
4:48pm: Heyman tweets that the Tigers may have offered slightly more than $14MM.
4:21pm: ESPN.com's Buster Olney tweets that executives expect Damon to sign with the Tigers.
4:15pm: Braves president John Schuerholz tells Jim Bowden that GM Frank Wren is "engaged" in talks with Damon and Scott Boras (Twitter link).
3:56pm: Jon Heyman of SI.com tweets that the Tigers have one and two-year offers on the table to Damon. The Braves and White Sox are also involved.
3:05pm: Jon Paul Morosi of FOX Sports and Jim Bowden tweet that the White Sox and Tigers are bidding on Damon.
2:48pm: Tigers owner Mike Ilitch has authorized a two-year $14MM offer, sources tell Ken Rosenthal of FOX Sports. It's hard to imagine Damon turning this kind of offer down.
Damon is also considering a one-year $7MM offer from the Tigers and a one-year offer from the Braves. Atlanta won't likely offer two years, since they have outfield prospects Jason Heyward and Jordan Schafer.
2:02pm: Damon is nearing a decision and could agree to a deal this week, reports ESPN.com's Jayson Stark. Damon's best available offer comes from the Tigers. Insiders guess they're offering a one-year deal worth $7MM or so, but the sides haven't ruled out a two-year deal.
The Braves and Rays are still involved and a source tells Stark that the White Sox have interest. The Braves and Rays are talking one-year deals and neither club has offered as much as the Tigers.
1:21pm: The Tigers appear willing to top the Braves' offer to Johnny Damon, tweets Newsday's Ken Davidoff. Davidoff suggests that the Tigers could offer Damon $4.5MM, which would top Atlanta's offer of about $4MM.
Yesterday, we heard that the Braves offered Damon a deal worth less than $4MM. The deal includes deferred money, according to multiple reports. Earlier in the week, FOX Sports reported that Damon was still looking for a multi-year deal.