Assuming Cease is scheduled to pitch on Tuesday the 4th, his next days would be the 9th and the 14th.
Pitching on the 9th would be Giolito's spot. So that wouldn't make sense. Pitching on the 10th would be Lopez, and pitching on the 11th would be Manny, who Cease would be most likely to replace. But then again, the Sox have 3 off days over the course of a 10 day period. So they could really move the rotation around almost any way they want it.
All of this is to say that I have tickets for June 10th and 15th, so they better not fuck this up for me. The Sox are home the 10th-16th. So if it's actually soon, it's that week. I doubt he debuts on the road, the Sox have been very good about rewarding us fans with debuts.