A device for guiding away a cold-rolled tube from a cold pilger rolling mill that at least one of intermittently feeds and rotates the tube. The device including a constant-speed driver for drawing the tube from the rolling mill. The driver is arranged downstream of the rolling mill so that there is a buffer zone between the driver and the rolling mill. Additionally, an apparatus is arranged in the buffer zone for diverting the tube out of a roll direction by restrictively guiding the tube so that the tube describes a roughly S-shaped path in the buffer zone whereby cyclically non-uniform rolling speed of the rolling mill is compensated for.