A cooling prioritization valve (5) for a hydraulic system (4) of a motor vehicle transmission (3) includes a valve housing (6), a valve slide (7), an inlet (18), an outlet (15), and a further outlet (21). A secondary system pressure circuit (39) of the hydraulic system (4) can be connected to the inlet (18), a cooler (54) can be connected to the outlet (15) or to the further outlet (21), and a suction loading (44) can be connected to the outlet (15) or to the further outlet (21). In a starting position, the inlet (18) is not connected either to the outlet (15) or to the further outlet (21). In a first control position, the inlet (18) is connected to the outlet (15). In a second control position, the inlet (18) is connected to the outlet (15) and the further outlet (21).