The invention relates to a transmission arrangement for a vehicle, having at least one wet clutch (7) as a starting element, wherein a coolant and lubricant supply is provided by means of at least one pump device (5) that can be driven by a drive motor (1) of the vehicle, and wherein the pump device can be driven such that the delivery volume flow of the pump device (5) is proportional to the differential speed between the speed of the drive motor (1) and the speed of the clutch (7) implemented as a starting element.