I think it will work as long as the napkin is thick enough... how to make it thick, besides from the original thickness of the cloth... Try this:-
- Hang your napkin to dry when it's still wet/dripping or wring lightly.
- It is good if you have direct sunlight.
- Iron napkin if you want.
Discovered this accidentally when the washing machine is unable to dry up heavy wash load and the super hardwoking maid in my family who do the ironing.