The invention concerns the use of at least an oligosaccharide comprising 2 to 6 sugars and containing at least 2 galactose units, preferably 2 vicinal end-of-chain galactose motifs, or a plant extract containing same, as a cosmetic or dermatological agent, in particular for stimulating the beta-endorphin production in the skin. The invention enables to provide care for sensitive skins, in particular to fight against skin sensitivity, uncomfortable reactions, to provide sensations of well-being, and to produce a local analgesic action.