An off-drawing apparatus for tubular webs of plastic film produced by an extruder with a fixedly disposed blow head includes a lay-flat apparatus for the tubular web delivered with an expanded round cross section, and a stationary conveyor for carrying off the flattened tubular web to a likewise stationary winding apparatus. Between the lay-flat apparatus and the conveyor there is disposed at least one pulley roll and one overturning bar for turning the tubular web 180.degree. with simultaneous change of direction, which, like the lay-flat apparatus, are supported in an apparatus frame for pivoting reversingly in a horizontal plane about the axis of the delivered tubular web. The lay-flat apparatus, the pulley roll and the overturning bar are held for their reversing pivoting movement on swivel rings disposed one over the other and supported directly on one another through interposed rolling bodies which form together a swivel ring stack rotatably mounted in the apparatus frame and compressively stressed, whose inside diameter is at least equal to the maximum working width of the apparatus.