Well.. well... yes, it has to come up, but after that, let's talk.
You are preparing the surface to install ceramic tile? You mentioned tile so I assume it's ceramic, but if it's vinyl or wood, you can ignore what I have to say. Ceramic tile should have a minimum of 1 1/4" of underlayment. (usually 3/4" plywood, followed with 1/2" plywood) If durarock is used on the floor, it would go on top of that. Any less than 1 1/4" of subfloor and the ceramic will eventually loose it's mortar from flex. Durarock has no sheer value (no structural strength, it is for waterproofing and/or for making a flat surface.) Also, on a floor Durarock calls for either an absolutely flat surface to adhere to, or a skim coat of your favorite filler before it goes down. Even a small air space will allow the durarock to crack and the tile along with it.
If the total thickness is an issue, before I used durarock on the floor, I'd use 1/2" plywood.