Patented is a press fabric for a machine to make fibrous web materials. The fabric has a first layer of fibrous material with a web material contact surface and at least one second layer of fibrous material located between the carrying structure and the fibrous materials. At least one second layer of fibrous material has fibers including a polymeric material forming a film at least partially coating at least some of the said fibers. At least 70% of the fibers are coated. Meanwhile the film is made of a polymeric material with an aqueous disperation of particle-shaped polymeric material applied onto at least one layer of fibrous material. The liquid of this aqueous dispersion has been removed to form a film.