The invention relates to the production of a connector intended for a pipe, including an end piece which is mounted to the end of a pipe. The connector includes a sleeve covering said pipe end in order to crimp same onto the mounting end. According to the invention, the sleeve includes an annular chamber, while the armoring wires have free ends which are folded back against the outer polymer sheath, said sealed annular chamber surrounding the aforementioned pipe end. The annular chamber is then dilated with the injection of a fluid in order to maintain the free ends engaged between the outer polymer sheath and the sleeve.