A motor vehicle air-conditioning line valve arrangement includes a line valve having an air-conditioning line body which is of substantially closed design in a transverse plane, and a fiber nonwoven arranged on an inside in the air-conditioning line body and having a nonwoven mat to which a large number of nonwoven fibers are fixed. The nonwoven fibers are fixed to the nonwoven mat at one end and configured to be electrostatically charged by the nonwoven mat. An electrical charge generator is electrically connected to the nonwoven mat and configured to electrostatically charge the fiber nonwoven, so that the electrostatically charged nonwoven fibers straighten toward a center of the air-conditioning line body in such a way that they close an open flow cross section of the air-conditioning line body.