The present invention relates to a cosmetic composition comprising, in a physiologically acceptable medium: - at least water, - at least alkylcellulose, - at least one first hydrocarbon-based non-volatile oil, chosen from: - C 10 -C 26 alcohols, preferably monoalcohols; - optionally hydroxylated monoesters, diesters or triesters of a C 2 -C 8 monocarboxylic or polycarboxylic acid and of a C 2 -C 8 alcohol; - esters of a C 2 -C 8 polyol and of one or more C 2 -C 8 carboxylic acids. - at least one second non-volatile oil chosen from silicone oils and/or fluoro oils or hydrocarbon-based oils other than the said first oil; - at least one stabilizer chosen from surfactants and/or hydrophilic gelling agents, preferably chosen from associative polymers, natural polymers and their mixture.