Eaton is anticipated to be the every-day proper fielder for the White Sox.
The deal was first reported by NBC Sports activities Chicago.
Eaton, 32, obtained a $1.5 million buyout after the Washington Nationals declined the choice on his $10.5 million deal for 2021 after the season.
He struggled on the plate this season, hitting simply .226 with 4 residence runs and 17 RBIs.
Eaton batted .320 within the 2019 World Collection for the Nats, hitting two homers with six RBIs in serving to Washington win its first title.
Total, in 4 seasons for Washington, Eaton hit .279 with 26 homers and 112 RBIs after being acquired in a 2016 commerce that despatched now-White Sox ace Lucas Giolito to Chicago. The White Sox additionally acquired right-handers Reynaldo Lopez and Dane Dunning within the deal.
Eaton spent three seasons with the White Sox earlier than being traded to the Nationals and had slash strains of .290/.362/.422 with 29 residence runs, 150 RBIs and 47 stolen bases in 433 video games.
The Related Press contributed to this report.