Abreu, 29, became eligible for arbitration this offseason after opting out of the final three years of his six-year, $68 million deal that he signed before the 2014 season.
Abreu batted .293 with 25 home runs and 100 RBIs last season. The Cuban slugger recorded his third consecutive season of 30-plus doubles, 25-plus home runs and 100-plus RBI to start his career, the first player in White Sox history to accomplish that feat.
Abreu also became the seventh player in major league history to record 100 or more RBIs in each of his first three seasons, joining Joe DiMaggio (1936-42), Hideki Matsui (2003-05), Albert Pujols (2001-10), Al Simmons (1924-34), Pinky Whitney (1928-30) and Ted Williams (1939-49, did not play from 1943-45 because of World War II).
Abreu, the American League Rookie of the Year in 2014, owns a .299 career average with 91 homers, 308 RBIs and a .515 slugging percentage over three seasons with the White Sox after signing as a free agent out of Cuba on Oct. 29, 2013.