The invention relates to a method for producing a part from a composite material, comprising the following steps: production of a mandrel; braiding of a fiber covering (11) around the mandrel, following the shape of the mandrel as closely as possible; local application on the braided covering of at least one fibre patch (12a, 12b, 12c), each patch being formed such that it is sufficiently deformable to closely follow the contour of the braided covering or patch on which it is applied; repetition of the two braiding and patch application steps as many times as necessary in order to obtain the preform; introduction of resin into the preform and polymerisation thereof.