A pump for dispensing lubricant to a system, comprising: a housing; an inlet for inputting lubricant from a source into the housing; an outlet for delivering the lubricant to the system from the housing; a control slide pivotable about a pivot pin within the housing in a displacement increasing direction and a displacement decreasing direction to adjust displacement of the pump through the outlet; a resilient structure biasing the control slide in the displacement increasing direction; a rotor with at least one vane mounted in the housing for rotation within the control slide to pressurize the lubricant; at least one control chamber between the housing and the control slide for receiving pressurized lubricant to move the control slide in the displacement decreasing direction; an outflow path in the form of a passageway formed in the housing, for leading the pressurized lubricant from the control slide to the outlet; the pump characterised by a pressure relief valve mounted to the pivot pin and positioned along the outflow path, the pressure relief valve having a pressure receiving surface receiving pressure from the pressurized lubricant in the outflow path to urge the pressure relief valve in an opening direction to an open position; and a pressure relief opening provided in the housing, the pressure relief valve being biased in a closing direction to a closed position closing the pressure relief opening, wherein pressure on the pressure receiving surface moves the pressure relief valve in the opening direction to open the pressure relief opening for outflow of the pressurized lubricant to outside the housing, to relieve pressure in the outflow path, wherein, in the closed position of the pressure relief valve, the pressure relief valve and outflow path are configured to allow pressurized lubricant to flow under the pivot pin and/or around a body of the pivot pin, wherein, in the open position of the pressure relief valve, the pressure relief valve and outflow path are configured to allow pressurized lubricant to flow through the relief opening, and over the pivot pin and under the pivot pin and/or around a body of the pivot pin. a housing; an inlet for inputting lubricant from a source into the housing; an outlet for delivering the lubricant to the system from the housing; a control slide pivotable about a pivot pin within the housing in a displacement increasing direction and a displacement decreasing direction to adjust displacement of the pump through the outlet; a resilient structure biasing the control slide in the displacement increasing direction; a rotor with at least one vane mounted in the housing for rotation within the control slide to pressurize the lubricant; at least one control chamber between the housing and the control slide for receiving pressurized lubricant to move the control slide in the displacement decreasing direction; an outflow path in the form of a passageway formed in the housing, for leading the pressurized lubricant from the control slide to the outlet; the pump characterised by a pressure relief valve mounted to the pivot pin and positioned along the outflow path, the pressure relief valve having a pressure receiving surface receiving pressure from the pressurized lubricant in the outflow path to urge the pressure relief valve in an opening direction to an open position; and a pressure relief opening provided in the housing, the pressure relief valve being biased in a closing direction to a closed position closing the pressure relief opening, wherein pressure on the pressure receiving surface moves the pressure relief valve in the opening direction to open the pressure relief opening for outflow of the pressurized lubricant to outside the housing, to relieve pressure in the outflow path, wherein, in the closed position of the pressure relief valve, the pressure relief valve and outflow path are configured to allow pressurized lubricant to flow under the pivot pin and/or around a body of the pivot pin, wherein, in the open position of the pressure relief valve, the pressure relief valve and outflow path are configured to allow pressurized lubricant to flow through the relief opening, and over the pivot pin and under the pivot pin and/or around a body of the pivot pin.