The 31-year-old was at the Dodgers' spring training camp in Glendale, Ariz., for a physical Saturday morning, the source told Crasnick.
The nine-year veteran had his third 10-win season last year with the Braves, going 10-11 with a 4.41 ERA in 26 starts. He is 76-95 in his career with a 4.28 ERA for the Pirates, Cubs and Braves.
He has only one career relief appearance, meaning he'll likely add depth to a Dodgers rotation anchored by reigning NL Cy Young winner Clayton Kershaw. SI WIRE: Alex Rodriguez drops lawsuit against MLB, MLBPA