Morin was claimed off waivers by the Marlins on Tuesday, Jon Heyman of MLB Network reports.
Morin is expected to join Miami's big-league roster ahead of their next game, the date of which remains uncertain given the team's coronavirus outbreak. Morin, who was designated for assignment by the Brewers, owns a career 4.65 ERA in 224.2 big-league innings, all of which have come in relief.