The Blue Jays optioned Estrada to Triple-A Buffalo on Tuesday.
He'll give up his spot on the 26-man active roster to right-hander Shane Bieber (elbow), who was activated from the 60-day injured list to start Tuesday's game against the Astros. Estrada has managed to allow just two runs over 6.1 innings in a couple relief outings for Toronto, though that's come with a 3:4 K:BB. The 27-year-old will likely go back into the rotation at Buffalo.