Right now, I see two guys in front of Meyer. Johnson and Deduno.
May still has a lot to prove before he gets the call. Darnell isn't in the conversation, IMO.
Either way, I expect to see Meyer at some point this season... Probably September unless everyone in front of him crumbles. Next season, it wouldn't surprise me to see him in the rotation on Opening Day.
It is pretty simple, Meyer won't be up until the June deadline. After that deadline, nobody is in front of him. None of the guys on our roster or in AAA are on his level.