Gibaut signed a minor-league deal with Cleveland on Thursday, according to Fusion Sports Agency.
Gibaut spent the majority of the 2021 season in the Twins organization at Triple-A St. Paul. He pitched almost exclusively out of the bullpen but struggled to a 6.80 ERA and 1.67 WHIP. He'll have the opportunity to earn a role in Cleveland's bullpen during spring training, though he'll have to substantially improve his results to do so.