Should Graphics and Compute share the same descriptor table?

Hello! Jumping from one bug the the next . I wonder, If having the same descriptor table is a bad idea or if it should be avoided? In my rendering code, I'm only using one command list (graphics), depending if the current call is a Draw* or a Dispatch, I set the Descriptor table with SetComputeRootDescriptorTable or with SetGraphicsRootDescriptorTable. I'm asking this because I encountered a bug where, if I perform a draw call in between some compute, the following compute work will be all messed up and not working properly. This problem may not be related at all with the main question (I think there is something going on with my depth buffer). Thanks!