Hollow fibers based on polymeric fibrogenic substances selected from the group consisting of vinylidene polyfluorides, polysulfones, polyacrylonitriles, cellulose and cellulosic esters, poly(vinyl chlorides), poly(vinyl acetates), polyamides, polyimides, polycarbonates, poly(phenylene oxides), polystyrenes, polyethers, polyesters, poly(arylene oxides), polysulfides, polyvinylic polymers, polyallylic polymers, polyazoles, polyimidazoles, polyphosphazines, polyhydrazides and copolymers or mixtures thereof of a structure which is asymmetrical in that they present a relatively dense outer layer having a thickness smaller than 0.1 .mu.m on their outer periphery, which is bonded to an open structure, the porosity of which increases in the direction of the inner face, said open structure underlying said outer layer being composed of a microporous layer directly in contact with said outer layer, the hollow fibers being characterized by the presence of pores of dimensions higher than 0.1 .mu.m and lower than 2 .mu.m, and a macroporous layer presenting macrovoids therein substantially cylindrical, radially oriented and regularly spaced, with homogeneous porosity walls in the radial direction opening on the side of the inner face of the fiber and not opening on the side of the outer face, such macrovoids having a main dimension higher than 2 .mu.m, the proportion of such macrovoids representing at least 10% of the wall bulk.