The invention relates to a method for producing an element (1) comprising coaxial pipes, including an inner pipe (1a), an outer pipe (1b) and a forged connector (2a, 2b) at each of the ends thereof, each connector consisting of at least a first inner arm (32) which is recessed (L1) in relation to a first outer arm (31). According to the invention, all of the circular welds between the inner pipe and the outer pipe and the connectors are made from the exterior of the pipes. The invention also relates to the coaxial pipe element (1) thus produced, which is characterised in that the inner pipe (1b) is subjected to a tensile stress.