The team has also optioned right-hander Ty Tice to triple-A.
Cole, 29, has yet to make an appearance for the Blue Jays this season. In 24 games for Toronto in 2020, Cole was 3-0 with a 3.09 ERA and 1.200 WHIP across 23.1 innings.
Kirk suffered a hip-flexor injury on May 1 against the Atlanta Braves and Blue Jays general manager Ross Atkins said earlier this week that the 22-year-old was expected to miss at least four weeks. The earliest Kirk can now return to action is July 2.
In other injury news, the Blue Jays are going day-by-day with reliever Rafael Dolis, who suffered a Grade 1 calf strain in Friday’s loss to Houston. Righty Anthony Castro is eligible to return this coming Tuesday after being place on the 10-day injured list on May 2 with a right forearm strain.
Blue Jays going day to day with Rafael Dolis, who has a Grade 1 calf strain.
Anthony Castro is eligible to return Tuesday. Has thrown a bullpen, not yet 100 per cent, has another coming up
— Shi Davidi (@ShiDavidi) May 8, 2021
The Blue Jays continue their series against the Astros on Saturday night, with first pitch scheduled for 7:10 p.m. ET/4:10 p.m. PT live on Sportsnet ONE.