A composite material comprising a plurality of fiber tape strips woven or braided together. Each of the plurality of fiber tape strips is made of a single layer of unidirectional fibers. The fibers are at least partially embedded in a thermoplastic matrix. A tubular composite part is made from this composite material and of an internal film. A method of manufacturing the composite material comprises weaving or braiding the fiber tape strips, especially in the form of a tube. A method of manufacturing a composite part comprises pressurizing the film inside the tube while heating both the tube and the film up to their forming temperature so as to bond the film to the woven fiber tape strips.