During the 2013 season, Berríos played for the Cedar Rapids Kernels of the Class A Midwest League[3] where he was 7–7 with a 3.99 ERA in 19 starts.

[7] Berríos began the 2015 season with the Chattanooga Lookouts of the Class AA Southern League, and received another midseason promotion to Rochester.

He pitched a complete game three-hit shutout (the first of his career) against the Baltimore Orioles, with 6 strikeouts, leading the Twins to a 7–0 win.

On April 18, 2018, Berríos finished with five strikeouts and no walks in seven scoreless innings for Minnesota in a game played in his native Puerto Rico before a sold-out crowd at the Hiram Bithorn Stadium.

With the 2020 Minnesota Twins, Berríos appeared in 12 games, compiling a 5–4 record with 4.00 ERA and 68 strikeouts in 63.0 innings pitched during the shortened season due to the COVID-19 pandemic.

On July 30, 2021, Berrios was traded to the Toronto Blue Jays in exchange for Austin Martin and Simeon Woods Richardson.

[27] On April 3, 2023, Berrios made his 2023 season debut against the Kansas City Royals pitching 5+2⁄3 allowing nine hits and eight earned runs.

[30] In October 2022, it was announced that Berrios intended to represent Puerto Rico in the World Baseball Classic for a third time in 2023.

[31] Berríos' wife Jannieliz is the sister of Irmarie Márquez, who is married to Javier Báez, an infielder for the Detroit Tigers.

[32] During the offseason, Berríos went to his hometown of Bayamón and delivered water, food, and other supplies to people in need as a consequence of Hurricane Maria which caused massive damage to Puerto Rico in September 2017.