A transmission with a drive side and an output side conical disk pair. One conical disk pair includes a fixed disk carried by a shaft, a movable disk non-rotatably connected with and axially movable relative to the shaft, and a support ring axially attached to the shaft adjacent a back side of the movable disk. A pressure chamber between the support ring and the back side of the movable disk is supplied with hydraulic pressure medium through a passage in the shaft that opens to the surface of the shaft. An end region of the movable disk when moved along the shaft passes over the opening at a maximum spacing of the movable disk from the fixed disk, and a hydraulic medium connection exists between the passage and the pressure chamber through drainage slots between an inner surface of the movable disk and the peripheral surface of the shaft.