A wet clutch includes a rotatable hub and a rotatable drum having an aperture extending therethrough. A plurality of outer clutch plates are fixed for rotation with the drum. A plurality of inner clutch plates are fixed for rotation with the hub and interleaved with the outer clutch plates. A piston is moveable to apply a force to the inner and outer clutch plates to transfer torque between the hub and the drum. A cover is moveable relative to the drum between first and second positions. The cover selectively restricts a flow of fluid through the aperture in the drum when in the first position.