The invention relates to an escalator or moving walkway that includes a drive shaft rotating at a relatively low peripheral speed around a horizontal axis and at least one sealing element associated with the drive shaft. Lubricant is supplied to the drive shaft and can escape from leakages at the one sealing element. A device is provided for a permanent recirculation of the lubricant escaping from the leakages. The device includes at least one conveyor element arranged downstream of the sealing element, seen in the direction of the leakage, and at least one recirculation element for the lubricant. The recirculation element cooperates with the conveyor element to return the lubricant into a region upstream of the at least one sealing element.