The present invention relates to a cosmetic composition in the form of an oil-in-water emulsion comprising: (A) at least 5% by weight of water; (B) at least 4% by weight of (C2-C8)alkylcellulose; (C) at least one hydrophilic gelling agent chosen from optionally modified polymers of natural origin; (D) at least one saturated or unsaturated, linear or branched C2-C8 polyol; (E) at least one hydrocarbon-based non-volatile first oil chosen from: —C10-C26 alcohols; —monoesters, diesters and triesters of a C2-C8 (poly)carboxylic acid and of a C2-C8 alcohol; —esters of a C2-C8 polyol and of one or more C2-C8 carboxylic acids; and (F) at least one non-volatile second oil chosen from silicone oils and/or fluoro oils or hydrocarbon-based oils other than the first oils (E). The invention also relates to a process for making up and/or caring for the lips, in which the abovementioned composition is applied.