Bass was designated for assignment by the Blue Jays on Friday.
Bass has posted a 7:1 K:BB through six Grapefruit League innings this spring.
The Blue Jays will exercise Bass' $3 million club option for 2023 on Tuesday, Ben Nicholson-Smith of Sportsnet.ca reports.
The Blue Jays acquired Bass and right-hander Zach Pop from the Marlins on Tuesday in exchange for infielder Jordan Groshans, Jon Heyman of the New York Post reports.
Bass (2-3) blew the save, but picked up the win anyway in Sunday's 6-5 victory over Pittsburgh, allowing two runs on two hits while striking out three and walking none over one inning.
Bass struck out two in a perfect seventh inning Friday to record his 14th hold of the season in a win over the Mets.
Bass struck out two over 1.2 perfect innings Sunday to record his seventh hold of the season in a loss to the Padres.
Bass (0-1) gave up a run on a hit and a walk in two-thirds of an inning to take the loss Friday against the Giants.
Bass is an option to close for the Marlins at the beginning of the season with Dylan Floro delayed by a hip issue, Christina De Nicola of MLB.com reports.