Hi,
I´d say there is no general answer for your question.
It´s hard to describe the noise on digital_VCC.
Let´say 10mV RMS noise can be a single sinusoidal lowr frequency or it can be much higher and fast spikes.
If the time where the analog signal is being captured meets a quiet piece of VCC, then then result is clean, but if it meets with an edge then the conversion result may be corrupted.
I recommend to read the datasheet. This is the source of information. No one here has better informations.
Look for:
* power supply rejection
* recommended decoupling circuit
* recommended PCB design
Klaus