First of all, I am a new owner of an RS6 C6 Avant, and I love it! I bought the car on 10.06.17, and hence here I am

I do have a bit of a worry at the moment though:
I noticed upon getting it home was that the coolant level was slightly low when looking at the level gauge in the door pillar. Once I had topped it up to just above the Max level in the filler tank, I went to check the level on the door pillar, and couldn't see anything in there at all (at least that is what it looked like)!
To cut a long story short, I can't see any coolant moving, or being fed back into the filler tank when I run the car with the coolant filler cap off. This to me seems very unusual, and a sign that the water pump / impeller has given up. That said, oil temperature runs consistently between 97 - 100, and the water temp stays constant, and there are no warning lights.
The car has only done 57,000 miles.
Any thoughts / experience of this would be much appreciated.
Thanks guys.