Abstract: The invention concerns an assembly comprising a tube in composite material including carbon fibers embedded in a resin, an extremity of which is equipped with a sleeve in plastic material such as polyamide, optionally equipped with a jointing thread. According to the invention, the tube comprises at least one layer of composite material, and the sleeve is obtained by overmolding injection of material on the tube. Preferably, the composite material constituting the tube comprises two adjacent layers of carbon fibers embedded in carbon, the inner layer being a layer whose fibers are substantially longitudinal, whereas the outer layer comprises helically arranged fibers.