The Blue Jays recalled Lee from Triple-A Buffalo on Wednesday.
With Dylan Cease (shoulder) landing on the injured list and Jose Rodriguez moving off the active roster, Lee will come up from the minors to replenish Toronto's bullpen depth. The 28-year-old has turned in a 2.01 ERA and 1.11 WHIP over 53.2 innings in the minors this year but will likely be limited to low-leverage work with the Jays after coughing up seven earned runs in just eight MLB frames.