Kimbrel was 4-5 with 24 saves in a combined 63 games with the Chicago Cubs and White Sox last season. The Cubs shipped him across town at midseason in exchange for Codi Heaur and Nick Madrigal. Kimbrel was 2-2 with the White Sox with one save in 24 games.
Kimbrel rediscovered the form that made him one of the game’s best closers and was named to his eighth All-Star team last season.
The 33-year-old right-hander was the NL Rookie of the Year in 2011. He led the league in saves from 2011 to 2014. Kimbrel ranks ninth all-time in the majors with 372 saves as he begins his 13th season.
Kimbrel fulfills the Dodgers’ need for a shutdown option late in games, especially with the departure of 10-year closer Kenley Jansen, who signed a one-year deal with the defending World Series champion Atlanta Braves.
Pollock hit .282 with 65 home runs and 199 RBIs in three seasons with the Dodgers. The 34-year-old outfielder’s best season came last year, when he batted. .297 with 21 homers and 69 RBIs in 117 games.
Meanwhile, the White Sox agreed to terms on a $7.45 million, one-year deal with right-hander Lucas Giolito to avoid arbitration.
He was 11-9 with a 3.53 ERA and 201 strikeouts in 31 starts last season, his fifth in Chicago.