This Soft cotton backed satin fabric is so soft and slippery you will want to roll about it in!
It's the sort of stuff you find in vintage lingerie from the 1930's onwards, good for girdles, suspender belts and multi-layer corsetry (I probably wouldn't use it on it's own unless the reduction is very light). I have a 1940's suspender belt made from this exact fabric.
Cotton Viscose mix
Cotton backed satin
note: ridiculously hard to photograph! It's very very white.