An adhesive composition is intended to provide the attaching to human skin, comprising a continuous phase and a discontinuous phase of hydrocolloids, with the continuous phase comprising by weight, based on the total weight of the adhesive composition: (i) 1 to 12% by weight of a sequenced polymer of the styrene-isoprene-styrene or styrene-butadiene-styrene type, (ii) (a) 1 to 15% of a polymer of the elastomer butyl type, possibly as a mixture with up to 25% by weight of a polymer of the polyisobutylene type, or (b) more than 10% to 30% of a polymer of the polyisobutylene type, free of polymer of the elastomer butyl type, (iii) 1 to less than 10% of a polymer of the ethylene vinyl acetate type, with the sum of these three types of polymers representing from 10 to 40%.