A cosmetic or dermatological composition comprising, in an aqueous phase:
i) a water-soluble or water-dispersible terephthalic copolyester oligomer
comprising dicarboxylate repeat units of formula (I):
[--CO--A--CO--O--(CH.sub.2 --CH.sub.2 O).sub.n --] (I)
wherein
A is 1,4-phenylene and sulfo-1,3-phenylene groups,
n ranges from 1 to 4,
at least 35 mol % of said units of formula (I) are units of formula (I),
wherein A is a 1,4-phenylene group and n is equal to 1,
at least 7 mol % of said units of formula (I) are units of formula (I),
wherein A is a sulfo-1,3-phenylene group, and
the weight-average molecular mass of said copolyester oligomer is less than
20,000, and
ii) at least one silicone compound as an emulsion in the aqueous phase, and
the composition is intended for making up keratinous substances.