In the textile industry there is a constant need for processes where the textile material to be treated can be treated in a simple form, for example in rope form instead of in the open-width state, and continuously. According to the invention, this need is met when the textile material is introduced via pressure seal elements into a specially constructed jet dyeing machine, is impregnated there with treating liquor during entry or immediately thereafter and is conveyed further in the machine by means of at least one jet operated by means of a gas stream, the treating agent applied, preferably dye, having advantageously been subjected to fixation in the course of the presence in the gas atmosphere. The necessary physical conditions (pressure, temperature) for this are created by the driving gas. Moreover, in the course of the passage of the textile material it is possible to carry out a further, including a completely different, impregnation.