In an arrangement for bending tubular workpieces, in which a workpiece is supplied to a bending head for bending and is supported from the inside during the bending process in the bending region by means of a mandrel introduced into the workpiece, with the mandrel comprising a mandrel element and a traveler, sitting movably in the workpiece and the traveler being longitudinally displaceable in the workpiece by means of a feed device (14), the traveler is produced from a magnetizable material and the feed device comprises a magnetic device which is applied to a position corresponding to the position of the traveler outside of the workpiece, with a positive magnetic engagement being formed between the magnetic device and the traveler, with the traveler being displaceable in the workpiece via the magnetic device.