A shaping tooling for chemical vapor infiltration of a fiber preform includes a structural enclosure formed by supports each provided with a multiply-perforated zone. Each of the supports has in its inside face an uncased zone that includes the multiply-perforated zone. The shaping tooling further includes first and second shaping mold functional elements, each present in a respective one of the uncased zones of the support. Each shaping mold functional element has a first face of a determined shape corresponding to the shape of the part that is to be made and a second face that is held facing the inside face of a support. Each functional element has a plurality of perforations and presents a number of perforations, a size of perforations, or a shape of perforations that differs from the number, the size, or the shape of the perforations present in the facing support.