The present invention relates to a cosmetic composition, comprising a cosmetically acceptable medium, containing a fatty phase and an aqueous phase, said aqueous phase comprising between 8% and 40% by weight of one or a plurality of mono-alcohol(s) comprising 2 to 8 carbon atoms, with respect to the total weight of said composition,said composition comprising at least one filler absorbing and/or adsorbing sebum wherein the oil absorption capacity is greater than or equal to 1.5 ml/g, andsaid composition comprising water in a quantity less than or equal to 5% by weight with respect to the total weight of said composition.
