Abstract: A universal joint shaft for driving a roll of a rolling mill includes a connecting shaft, a first universal joint that is attached to a first end of the connecting shaft, a second universal joint that is attached to a second end of the connecting shaft, a coupling sleeve that includes a longitudinal axis that is connected to the first universal joint, which comprises a receiving bore with an opening for receiving a journal of a roll, wherein the receiving bore forms torque transmitting transmission faces, and which includes a first conical face that is arranged concentrically relative to the longitudinal axis, wherein the first conical face is provided for contacting a correspondingly designed first counter face at the journal of the roll, as well as a structure means by which the first conical face is loaded along the longitudinal axis towards the roll.