The present invention relates to a cosmetic composition comprising: at least 2% by weight, relative to the weight of the composition of alkylcellulose, in which the alkyl residue comprises between 2 and 6 carbon atoms, preferably between 2 and 3, at least one non-volatile oil polar hydrocarbon, at least 20% by weight, relative to the weight of the composition of at least one second oil is not compatible with the first oils, chosen from volatile oils, silicone, fluorinated non-volatile oils, or combinations thereof, optionally at least a third non-volatile oil which is different from the first oil chosen from among the polar or nonpolar hydrocarbonaceous oils, silicone oils which are different from the second oils, phenylated not comprising a fragment dimethicone, or their mixtures, • less than 5% by weight of water, with respect to the weight of the composition. It also relates to a process for the makeup and / or care product, in particular of the lips, in which is applied to the abovementioned composition.
