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 C alcohols preferably monoalcohols; optionally hydroxylated monoesters diesters or triesters of a C C monocarboxylic or polycarboxylic acid and of a C C alcohol; esters of a C C polyol and of one or more C C 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.