A clutch arrangement includes a housing filled with fluid, a first friction surface formation rotatable with the housing around an axis of rotation, a second friction surface formation rotatable with a driven element around the axis of rotation, a pressing element rotatable with the housing around the axis of rotation and which divides an interior space of the housing into a first spatial area and a second spatial area. Depending on fluid pressure in the first and fluid pressure in the second spatial areas, the pressing element is movable with respect to the housing for producing and canceling a frictional engagement between the and the second friction surface formations. A fluid supply system for the first spatial area and/or the second spatial area includes at least a first fluid flow path. The fluid can be supplied to the associated spatial area via at least one fluid flow path and fluid can be removed from the associated spatial area via at least one fluid flow path.