A process for manufacturing insulating products based on mineral wool includes: the application, on mineral wool fibers, of a binder composition containing (a) at least one carbohydrate selected from reducing sugars, non-reducing sugars, hydrogenated sugars and a mixture thereof, and (b) at least one crosslinking agent for crosslinking the carbohydrate(s); the evaporation of the solvent phase of the binder composition; and the thermal curing of the non-volatile fraction of the composition. A polysaccharide-free oil-in-water emulsion comprising water, a mineral oil and from 0.5 to 5.0 parts by weight per 100 parts by weight of mineral oil of at least one preferably nonionic surfactant, is added to the binder composition, preferably immediately before the application thereof onto the mineral wool fibers, the mean diameter of the oil droplets of the oil-in-water emulsion, determined by laser diffraction particle size analysis, being greater than 5 μm.