Abstract: For separating oil from aqueous or solvent dispersions the dispersion is passed through a porous flat-shaped textile article which comprises at least partly of oleophilic fibres each having a titer below 1 dtex. The flat-shaped textile article is preferably a three dimensional article, and can have a pile and possibly also a substrate comprising of extremely fine oleophilic artificial fibres. The pile threads and eventually also the threads of the substrate are split by means of a swelling agent into many extremely fine oleophilic fibres having a low titer. The small and very small oil drops in the dispersion are withheld on the extremely fine oleophilic fibres and coalesce to larger oil droplets or oil drops which rise to the surface of the liquid due to their lower density than the liquid. The oil can be easily removed from the surface of the liquid.