Cosmetic or dermatological compositions comprising an oil-in-water type emulsion containing oily globules which are coated with a lamellar liquid crystal coating and are dispersed in an aqueous phase, in which each oily globule contains at least one lipophilic compound which is cosmetically or dermatologically active and is individually coated with a monolamellar or oligolamellar layer of at least one lipophilic surface-active agent, at least one hydrophilic surface-active agent, and at least one fatty acid, the coated oily globules having a mean diameter of less than 500 nanometers, preferably less than 200 nanometers, and the oily phase contains a basic agent in the dissolved state, exhibit good skin and hair penetration.