A process for non-migrating deposit of a composition for making up at least one keratinous material, such as, for example, a lipstick or a foundation, comprising including in said a-composition for making up at least one keratinous material at least one liquid continuous fatty phase comprising at least one dyestuff and at least one structuring polymer chosen from polymers of the following formula (I): ##STR1##

in which n is an integer which represents the number of amide units such that the number of ester groups present in said at least one structuring polymer ranges from 10% to 50% of the total number of all said ester groups and all said amide groups comprised in said at least one structuring polymer, R¹, which are identical or different, are each chosen from alkyl groups having at least 4 carbon atoms and alkenyl groups having at least 4 carbon atoms, R², which are identical or different, are each chosen from C₄ to C₄₂ hydrocarbon-based groups with the proviso that least 50% of R² are chosen from C₃₀ to C₄₂ hydrocarbon-based groups, R³, which are identical or different, are each chosen from C₂ to C₃₆ hydrocarbon-based groups, and R⁴, which are identical or different, are each chosen from hydrogen and C₁ to C₁₀ alkyl groups with the proviso that at least 50% of all R⁴ are chosen from hydrogen, and methods for making up the at least one keratinous material using the same.