In October, MLB Network’s Peter Gammons said on WFAN he expects the Red Sox to keep Ellsbury this winter because Boston will seek at least three prospects for him in any deal.
In addition, FOX Sports' Ken Rosenthal said in October the Red Sox are "disinclined" to trade Ellsbury right now, as they feel he will be highly motivated to perform next year after his 2012 season.
Ellsbury .273 with four home runs and 25 RBI in 72 games in 2012 despite hitting .321 with 32 home runs and 105 RBI in 2011.
Ellsbury signed a one-year, $8 million contract to avoid arbitration last winter. He is eligible for arbitration this winter, and can become a free agent after the 2013 season.
Ellsbury always seems like a strong fit for the Mets, and he's a player I seem to get questioned daily on Twitter about. When he's healthy, Ellsbury is fantastic, but he has failed to put together healthy seasons in two of the last three years. But he's awfully tempting and could theoretically provide everything the Mets need in an outfielder: speed, defense, the ability to get on base, take the extra base and be a consistent stolen base threat, and potentially be a power threat (based on his 2011 output). But, as Heyman points out, the Red Sox are in need of outfielders too and the Mets don't have outfielders - or any other position players to deal from - at the moment, and so it's hard to see a match for Ellsbury and the Mets right now.
It's also worth noting Ellsbury is represented by Scott Boras, so it is almost certain he will go to free agency after the 2013 season. That makes it difficult for anyone to commit to the price it would take to land Ellsbury, even if Boston was willing to deal him.