The agreement, which is subject to a physical, was first reported by Yahoo Sports.
Reddick got off to a slow start with the Dodgers following an Aug. 1 trade, but he finished batting .258 with two home runs and nine RBIs in 47 games with his new club. He ended up tied for the major league lead with a .400 batting average in September, going 26-for-65 in 20 games for the Dodgers.
According to FanGraphs, Reddick ranked sixth among major league right fielders with six defensive runs saved.
---ESPN Dodgers reporter Doug Padilla contributed to this report