Forgot to mention this before, Joe Torre said there was a chance Clemens may only need two minor-league starts before being ready for the majors.
So his schedule could be something like this:
Tuesday: Bullpen in Tampa.
Friday: vs. Fort Myers for Class A Tampa
May 23: vs. Portland for Class AA Trenton
May 28 or 29: vs. Toronto for Yankees
The way schedule lines up, the Yankees would need a starter on May 29 in Toronto.