The Red Sox mounted a charge in the 11th when Jarrod Saltalamacchia drew a one-out walk from Aaron Loup (4-5) and Will Middlebrooks followed with a single.
Saltalamacchia advanced to third and Middlebrooks was erased at second base on Jacoby Ellsbury's groundout, but with Victorino at the plate, Ellsbury stole second and both runners scored when Victorino grounded a pitch up the middle for a hit.
Ellsbury and Dustin Pedroia each contributed an RBI for American League East-leading Boston, which extended its lead over second-place Tampa Bay to four games with a win in the opener of a three-game series.
J.P. Arencibia went 2-for-4 with a solo homer and two RBI for the Blue Jays.
Swim Week Miami Beach 2014 [PHOTOS]