Tampa Bay will host four games starting March 31 against the Blue Jays, who haven't won a series at Tropicana Field since April 2007.
Toronto began each of the past two seasons in Cleveland, where the Blue Jays prevailed 7-4 in 16 innings in 2012 and lost 4-1 this season.
The Jays will return home for a six-game homestand, beginning April 4 at 7:07 p.m. ET versus the New York Yankees.
Houston provides the competition complete the homestand.
A pair of American League East rivals, Baltimore and Boston, arrive at Rogers Centre for three game sets running April 22-24 and April 25-27, respectively.
Toronto will be matched up against National League Central clubs for interleague play, with home games against Philadelphia (May 7-8), St. Louis (June 6-8), Milwaukee (July 1-2) and the Chicago Cubs (Sept. 8-10).
The Blue Jays will visit Pittsburgh (May 2-4), Philadelphia (May 5-6), Cincinnati (June 20-22) and Milwaukee (Aug. 19-20).