The invention relates to a method of treating the coat of an animal. The method includes the steps of applying a composition to the coat of the animal, diffusing the composition by action of a carrier, storing the active ingredients of the composition by the sebaceous glands of the animal, and gradually releasing the active ingredients from the sebaceous glands. The dermo-cosmetic composition includes a diffusion solvent vehicle that enables, by a simple application to one or more points of the cutaneous surface, a diffusion over the entirety thereof and at the level of the sebaceous glands. The active ingredients, primarily including a complex of essential oils and of polyunsaturated fatty acids, stored in these sebaceous glands can be salted out progressively with the sebum product to the surface of the skin.
