Engine cooling system

An engine cooling system, comprising:

• a cooling circuit including a circulation path through which coolant circulates between an engine and a heater core for heating, by an engine water pump that causes coolant to flow to the engine and a heater core water pump that causes coolant to flow to the heater core;
• and
• a control device that controls the engine water pump and the heater core water pump, wherein
• the control device includes
• a first control unit for controlling the heater core water pump such that a correlation value that is correlated with lift of the heater core water pump is no greater than an upper limit value at which step-out of the engine water pump is suppressible when a drive request is made for the engine water pump in a stopped state, and
• a second control unit that starts driving the engine water pump in a state in which the heater core water pump is controlled such that the correlation value is no greater than the upper limit value.