A pipeline for conducting air for air conditioning in aircrafts includes a body portion formed with foamed plastics material or with a dense plastics material. The body portion defines a longitudinal axis and includes an outer surface carrying a wrapping for reinforcing the pipeline. The wrapping includes a plurality of adjacent contacting layers formed by at least one linear reinforcing element wound into a plurality of windings, with adjacent layers having windings angled in opposite directions to form a net-like structure of the wrapping. At least one of the spacing between the windings along the longitudinal axis or the angle of slope between the windings and the longitudinal axis varies in certain sections to change the winding density as a function of local mechanical load requirements on the pipeline.