In a vehicle heating appliance, a burner is supplied with combustion air by a combustion air fan and with fuel by a fuel dosing pump. The heat generated by the burner in a combustion chamber is absorbed by a liquid or gaseous heat transfer medium through a heat exchanger that surrounds the combustion chamber and is transferred to the areas to be heated. In order to avoid malfunctions of the fuel dosing pump caused by steam bubbles produced by overheating, the fuel dosing pump must be kept cool. To ensure an efficient cooling of the fuel dosing pump, the fuel dosing pump is mounted in a compact manner in a suction channel (8) of the combustion air fan (1). When the vehicle heating appliance is in operation, combustion air flows past the outer surface of the fuel dosing pump (14) and cools the pump before being led to the inlet side of the combustion air fan (1, 4).