On February 10, 2020, the Red Sox traded Price, Mookie Betts, and cash consideration to the Los Angeles Dodgers in exchange for Alex Verdugo, Connor Wong and Jeter Downs. In May 2020, Price announced he would donate $1000 to each of the Dodgers minor league players in an effort to help offset their costs during the COVID-19 pandemic. On July 4, 2020, Price announced that he would not play during the shortened 2020 season amidst the COVID-19 pandemic. The Dodgers went on to win the 2020 World Series and the team agreed to give Price a World Series championship ring, despite not playing a single game for the team that season. Price decided to auction his ring off to the public in order to help raise money for The Players Alliance. On April 15, 2021, Price picked up his first big league save against the Colorado Rockies. On May 27, Price struck out his former teammate and fellow Vanderbilt alum Curt Casali of the San Francisco Giants for his 2,000th career strikeout.