The Blue Jays also claimed right-hander Jimmy Cordero off of waivers from Washington and optioned him to triple-A Buffalo.
The 27-year-old Cordero made 22 appearances for the Nationals last season, posting a 1-2 record with a 5.68 earned-run average in 19 innings of work.
To make room for newly-acquired starter Edwin Jackson on the 25-man roster, left-hander Thomas Pannone was optioned to Buffalo.
To make room for the new acquisitions on the 40-man roster, right-handed pitchers Matt Shoemaker and David Phelps were transferred to the 60-day injured list.