Abstract: For manufacturing a catheter tubing (50), a container (1, 21) provided with a passage (15, 35, 36), a mandrel (7) sealing off that passage (15, 35, 36) when inserted into said passage and a solution (14) containing a dissolved plastic in the container (1, 21) up to a level above the passage (15, 35, 36) are provided. Repeatedly, the mandrel (7) is inserted into the passage and at least a section of the mandrel (7) is passed through the passage (15, 35, 36) and the solution (14) in an upward direction. When sufficient plastic material has adhered to the mandrel (7), the catheter tubing (50) is removed from the mandrel (7). Thus, catheters having thin, smooth walls of a uniform thickness can be manufactured without expensive machinery and tools. A system for carrying out the method and particular catheters obtainable by that method are also described.