Metal-plastic multilayer pipe with a plastic inner pipe (30) and a metal sheath (32) around the plastic inner pipe (30), where the metal sheath (32) is of uniform thickness, is applied to the plastic inner pipe (30) so that it completely encircles the plastic inner pipe (30) and a practical plastic outer layer (38), with the feature that the thickness of the metal sheath (32) as compared to the total thickness of all layers of the multilayer pipe (32, 34 and 38), is sufficiently thin that the metal sheath (32) accounts for a negligible part of the overall strength and stiffness of the multilayer pipe and, as a consequence, when the multilayer pipe is bent in an arc, the metal sheath (32) offers negligible resistance to such bending as compared to the resistance offered by the inner pipe (30) and the practical cover layer (38), and when so bent, the multilayer pipe tends to remain bent in said arc, whereby, the multilayer pipe has “form stability”.