Abstract: A method and apparatus for influencing the ambient or surrounding conditions during open-end spinning, wherein the fibers are delivered to a spinning rotor or turbine by means of a conveying air stream and then spun into a yarn in such spinning rotor. The invention contemplates cooling the spinning rotor by providing a simultaneously flowing stream of cooling air which is separate from the conveying air stream. The apparatus aspects of this development contemplate disposing the side of the spinning rotor not impinged by the fiber material-conveying air stream in a compartment having inflow- and outflow openings for the cooling air stream. The outflow opening is operatively connected in flow communication with an air conveying device.