Free agent reliever Kyle Farnsworth is close to picking a new team, ESPN.com's Jerry Crasnick reports (on Twitter). Farnsworth is deciding between two clubs, one of which is the Rays.

Interest in Farnsworth has intensified recently, Ken Rosenthal of FOX Sports reported last week. The Meister Sports Management client had multiple offers at that time. Farnsworth, 36, posted a 4.00 ERA with 8.3 K/9, 4.7 BB/9 and a 55.1% ground ball rate in 27 innings for the Rays in 2012. He earned $3.3MM in 2012, up from $2.6MM in 2011.

Farnsworth has been linked to the Rays and Brewers so far this offseason. The Rays, Tigers, Blue Jays, Mariners, Marlins and Mets are among the teams that appear to be seeking late-inning relief.