A fiber application head for producing composite material parts, comprising a compacting system comprising a compacting roller comprising a rigid central tube and at least one cylindrical part made of a flexible material and assembled on said central tube, and an anti-adherent sheath covering the cylindrical part, and a heating system that is able to emit thermal radiation in the direction of the (s). The anti-adherent sheath has lateral portions extending beyond the cylindrical surface of the cylindrical part in the direction of the rotation axis of the roller, the assembly of the anti-adherent sheath to said cylindrical part being carried out by the lateral portions.