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: C10-C26 alcohols, preferably monoalcohols;optionally hydroxylated monoesters, diesters or triesters of a C2-C8 monocarboxylic or polycarboxylic acid and of a C2-C8 alcohol;esters of a C2-C8 polyol and of one or more C2-C8 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.