Abstract: A pumped oil supply system, for example for lubricating an internal combustion engine incorporates a relief valve the control element of which has superimposed thereon an opening force derived from a temperature responsive element responsive to the temperature of the oil delivered by the pump part of the system. The pump part has separate first and second outlets, the second outlet communicating with the oil gallery of the engine and the first outlet communicating with the second outlet through a variable restrictor. The first outlet has a relief valve with a spring-loaded piston acted on by the delivery pressure in the first outlet, and the piston is connected to a center body constituting the adjustable member of the variable restrictor. The temperature responsive element is disposed in the second outlet and imposes a resilient force on the piston which, with increase of the oil temperature, augments the action thereon of the delivery pressure in the first outlet.