A device for limiting sway in a travelling cable (6) in an elevator system is provided. The device comprises: a channel extending in a first direction for receiving the travelling cable (6) therein, wherein the channel is configured to be mounted in an elevator hoistway (2) such that the first direction corresponds to a direction of motion of an elevator car (4) within the hoistway (2); and an element (20) configured to move in the first direction along an open side of the channel simultaneously with an elevator car (4) and to push the travelling cable (6) into the channel when the element (20) moves along the open side thereof.