The invention relates to a method for producing a small thin-walled tube for a medical application or for a medical product, in particular for a stent, wherein a blank of an in particular bioresorbable magnesium alloy is deformed to produce a small tube, after which the small tube is used for medical purposes or from which the medical product, such as a stent, can be made. In order to be able to produce the small tube in one step and with high precision, it is provided according to the invention that a male die (2) with a base body (3) and a mandrel (4) tapered relative to the base body (3) and the blank is provided with a blind hole or an opening, wherein a diameter of the blind hole or the opening of the blank is equal to or greater than an outer diameter of the mandrel (4), after which the blank with inserted mandrel (4) with the male die (2) is pressed forwards at least in part through a female die (5) with a receiving region (6) and a contouring region (7), wherein the contouring region (7) has a free diameter, which is larger than the outer diameter of the mandrel (4), but smaller than an outer diameter of the blank, in order to form the small tube.