Procedure for the manufacture of a tube made of a flexible material and comprising a skirt and a head, in which a unit formed by the skirt and an appendage is disposed or manufactured in an injection procedure, the appendage totally or partially closing one end of the skirt and including the injection point(s), in which the appendage is cut totally or partially, and the cut part is removed, and in which the head over-molded on any area of the part of the unit formed by the skirt and appendage that remains once the cut part has been removed. The appendage offers several advantages, such as improving the finish of the over-molded head or, in the event of the unit being manufactured, easing the removal of the unit from the mound.