Kimura, a defender, was last connected to Polish side Wisla Krakow, where he trialed in early November, but was not offered a contract. Our SBNation colleagues Stuptown Footy and NASN.tv both mention that Kimura's contract was up at the end of the 2012 season. As always, MLS contracts can be murky things, so that that for what it is.
Kimura started the 2012 season with the Colorado Rapids before being dealt to the Timbers. He was drafted by the Rapids in 2007 out of Western Illinois University. He's made 134 appearances in his MLS career with 125 starts. For the Timbers, he made 17 appearances with 16 starts.
The Times' Jack Bell profiled Kimura in 2010.
UPDATE (12/2, 8:40 p.m.): Kimura has his green card, so he won't take up an international slot.