Method of shaving the skin, in particular the facial skin of men, comprising at least the following steps: a) a composition comprising, in a cosmetically acceptable medium, at least one salicylic acid derivative of formula below: in which: R represents a linear, branched or cyclic, saturated aliphatic chain containing from 3 to 11 carbon atoms; an unsaturated aliphatic chain containing from 3 to 17 carbon atoms bearing one or more conjugated or nonconjugated double bonds; an aromatic nucleus linked to the carbonyl radical directly or by means of saturated or unsaturated aliphatic chains containing from 2 to 7 carbon atoms; it being possible for said R groups to be substituted with one or more substituents, which may be identical or different, chosen from halogen atoms, a trifluoromethyl group, a hydroxyl group in free form or in a form esterified with an acid containing from 1 to 6 carbon atoms or else with a carboxyl function, which is free or esterified with a C 1 -C 6 alcohol; R' represents a hydroxyl group or an ester function of formula below: where R 1 represents a saturated or unsaturated, linear or branched aliphatic chain containing from 1 to 18 carbon atoms, and/or a salt thereof, is applied to the area of skin to be shaved; b) the hairs are shaved by means of a razor. a) a composition comprising, in a cosmetically acceptable medium, at least one salicylic acid derivative of formula below: in which: R represents a linear, branched or cyclic, saturated aliphatic chain containing from 3 to 11 carbon atoms; an unsaturated aliphatic chain containing from 3 to 17 carbon atoms bearing one or more conjugated or nonconjugated double bonds; an aromatic nucleus linked to the carbonyl radical directly or by means of saturated or unsaturated aliphatic chains containing from 2 to 7 carbon atoms; it being possible for said R groups to be substituted with one or more substituents, which may be identical or different, chosen from halogen atoms, a trifluoromethyl group, a hydroxyl group in free form or in a form esterified with an acid containing from 1 to 6 carbon atoms or else with a carboxyl function, which is free or esterified with a C 1 -C 6 alcohol; R' represents a hydroxyl group or an ester function of formula below: where R 1 represents a saturated or unsaturated, linear or branched aliphatic chain containing from 1 to 18 carbon atoms, and/or a salt thereof, is applied to the area of skin to be shaved; R represents a linear, branched or cyclic, saturated aliphatic chain containing from 3 to 11 carbon atoms; an unsaturated aliphatic chain containing from 3 to 17 carbon atoms bearing one or more conjugated or nonconjugated double bonds; an aromatic nucleus linked to the carbonyl radical directly or by means of saturated or unsaturated aliphatic chains containing from 2 to 7 carbon atoms; it being possible for said R groups to be substituted with one or more substituents, which may be identical or different, chosen from halogen atoms, a trifluoromethyl group, a hydroxyl group in free form or in a form esterified with an acid containing from 1 to 6 carbon atoms or else with a carboxyl function, which is free or esterified with a C 1 -C 6 alcohol; R' represents a hydroxyl group or an ester function of formula below: where R 1 represents a saturated or unsaturated, linear or branched aliphatic chain containing from 1 to 18 carbon atoms, and/or a salt thereof, is applied to the area of skin to be shaved; b) the hairs are shaved by means of a razor.