A method of manufacturing a one-piece flexible tube connector includes obtaining a tube blank having an initial length, an initial outer diameter, and an initial wall thickness. The tube blank is secured in a fixture and fed longitudinally into a forming tool. During the forming process, one of the tube blank and the forming tool is spun increasing an initial wall thickness of a portion of the tube blank to a second wall thickness, while the initial outer diameter of the tube blank is controlled. The thickened portion of the tube blank extends along a second length of the tube blank that is less than the initial length. After the spinning process, an attachment feature, such as a barbed feature, is formed or machined into the thickened portion of the tube blank to produce the one-piece flexible tube connector.