Abstract: An optical-fiber cable containing at least one optical member, and at least one strength member constructed such that members are inserted in respective hollow cavities within a covering made of thermoplastic. The cavities are closed relative to the outside of the cable, and all the cavities receiving optical members communicate with one another, with at least two of the cavities communicating with each other. The members contained in the cavities that communicate with each other are coated with a viscous, non-adhering coating material preventing them from adhering to the thermoplastic covering so that the covering defines a central portion having at least two branches, the central portion containing no thermoplastic and being filled with the coating material. Each branch is terminated at one of its ends by a respective cavity communicating with other cavities and having its other end joined to the other ends of the other branches.