The 29-year-old was designated for assignment by the Tigers earlier this month. He posted a 4.09 ERA with 15 strikeouts and five walks over 22 innings of work. The nine-year veteran has a career ERA of 3.82 after spending time with Detroit and the Yankees.
It's not immediately clear how Chamberlain would fit into the Blue Jays' plans for the bullpen, but the club has been looking to upgrade that area and it's possible that the veteran righty has a chance to crack the big league roster.
Right-hander Aaron Sanchez will join Toronto's bullpen when he is activated from the disabled list later this week.