A camshaft phaser includes a stator; a rotor defining an advance chamber and a retard chamber with the stator; a valve spool that is rotatable about an axis and defining a supply chamber and a vent chamber with the rotor; an actuator which rotates the valve spool to change the position of the rotor relative to the stator by 1) supplying oil from the supply chamber to the advance chamber and venting oil from the retard chamber to the vent chamber and 2) supplying oil from the supply chamber to the retard chamber and venting oil from the advance chamber to the vent chamber; and a check valve which is displaceable axially between an open position which allows oil to flow from the vent chamber to the supply chamber and a closed position which prevents oil from flowing from the supply chamber to the vent chamber.