6:42pm: MLB.com's Mark Bowman hears from a source that even with deferred money, the Braves offer to Damon totals less than $4MM (link goes to Twitter).
4:04pm: Tyler Kepner of the New York Times tweets that he's hearing the Braves' offer to Damon is $2MM now plus another $2MM deferred.
11:22am: Yesterday, Ken Rosenthal and Jon Paul Morosi of FOX Sports reported that Johnny Damon had not moved off his demand for a two-year deal. They suggested the Tigers were the most interested club, a notion SI's Jon Heyman agreed with this morning. Rosenthal and Morosi wrote that the Braves were taking a more passive approach than the Tigers.
However, David O'Brien of the Atlanta Journal-Constitution reports today that the Braves' interest in Damon has increased, to the point of making an offer in the $5MM range. MLB.com's Mark Bowman reports that the offer includes some deferred money. O'Brien says the Braves recently made a one-year offer and had Chipper Jones contact Damon. Additionally, Damon texted O'Brien and described the Braves as "definitely a team that is on top of the list."