Reyes, Kyle Drabek and Jesse Litsch had been contending for the final two open starting jobs until the team decided earlier Wednesday to have No. 2 starter Brandon Morrow open the regular season on the disabled list with right forearm inflammation.
The trio will now join opening-day starter Ricky Romero and Brett Cecil in the rotation.
Aaron Hill had an RBI double and sacrifice fly for the Blue Jays. The second baseman played in consecutive game for the first time since returning from a strained right thigh muscle.
New York right fielder Nick Swisher fouled a ball off his left in-step, but finished his at-bat in the sixth. Swisher is sore, but no X-rays were planned.