A hydraulic system for controlling a double-clutch transmission operating with wet clutches. A pump provides a system pressure in a supply line, and a control valve for applying to individual clutch actuators an actuation pressure that is derived from the system pressure and that is modulated in accordance with the operating conditions. A charging valve directs hydraulic fluid delivered by the pump into a return line when the system pressure is reached, wherein the hydraulic fluid flowing through the return line can be fed to the clutches to cool them.