The White Sox avoided arbitration with Abreu and three other players, also reaching one-year deals Friday with infielder Leury Garcia ($1,175,000) and left-handers Luis Avilan ($2.45 million) and Carlos Rodon ($2.3 million).
Outfielder Avisail Garcia and infielder Yolmer Sanchez remain eligible for arbitration. Garcia asked for $6.7 million and was offered $5.85 million, Sanchez sought $2.35 million and was offered $2.1 million.
Abreu has hit 30 or more home runs three times and driven in at least 100 runs in all four of his major league seasons. The first baseman hit .304 with 33 homers and 102 RBIs last year.
Avilan was acquired from the Los Angeles Dodgers in a three-team trade last week.