A method of manufacture of an outer Tube equipped with Needle (2), which includes a Needle (3),A Connecting element (4) that has a Hole (42) introduction of the Needle that penetrates the connecting element (4) from a distal end and a proximal End (33),To allow the Needle (3) introduced in the same, and a Conical (47, 49) whose Outer diameter decreases from one side of the distal side of the proximal End (33),Element (2) and an outer tube which includes a connection section (22) of the distal End is a Conical Cavity (26, 2) configured to receive the Conical part (4749) the connecting element (4),The Manufacturing process is characterized by that the Outer Tube equipped with Needle (2) comprises: a preheating stage that is heated to a temperature equal to or less than the PSoftening point of a material that forms the Outer Tube element (2) with the connecting element (4) introduced in section connection (22) of the distal end of the tube element (2) andUse the Needle, and (3) being introduced or introduced and fixed in the Hole (42) introduction of the Needle and a step of Welding the connecting element (4),After the preheating Stage,Termosoldar comprising the connecting element (4) to the connection section (22) of the distal end of the Outer Tube element (2) with a portion of the distal end of the connecting element (4) pressureNothing towards the proximal End (33) of the connecting element (4) through a pusher element (17) with a pressure Force in an interval of 4 to 30 N.Un procedimiento de fabricación de un tubo exterior equipado con aguja (2), que incluye una aguja (3), un elemento de unión (4) que tiene un orificio (42) de introducción de la aguja que penetra el elemento de unión (4) desde un extremo distal hasta un extremo proximal (33), para permitir que la aguja (3) sea introducida en el mismo, y una parte cónica (47, 49) cuyo diámetro exterior disminuye desde un lado del extremo distal hacia un lado del extremo proximal (33), y un elemento (2) de tubo exte
