Process for manufacturing reservoir microcapsules containing an active principle in a polymer shell comprising the steps of: (iii) dispersion of a lipophilic active principle in an aqueous continuous phase, forming an oil-in-water emulsion, (iv) introduction into the lipophilic phase of one or more compounds A bearing alkoxysilane groups, (v) introduction into the aqueous phase of amine-containing organic monomers B comprising at least one group selected from melamine, urea, glycoluril, benzoguanamine or dicyandiamide groups and one or more aldehydes, or pre-polymers thereof and (vi) hydrolysis and polymerization, in situ, of the compounds A and B in an acid medium to give a silicone polymer and an amine-containing polymer, bonded together by polar, hydrogen or covalent bonds, forming the wall of the shell of the microcapsules, containing the active principle. Microcapsules containing a lipophilic active agent, the double-walled shell of which is formed from two polymers, one being a silicone copolymer, the other an amine-containing organic polymer, and use of these microcapsules in formulations comprising surfactants.