Hatch (elbow) was transferred to the 60-day injured list Thursday.
Hatch has been dealing with a right elbow impingement since mid-March but has been throwing bullpen sessions recently. However, the right-hander will now be sidelined until at least June while he continues to recover. Hatch's removal from the 40-man roster will make room for right-hander Jeremy Beasley, who was acquired by Toronto via trade Thursday.