The invention relates to a metering device for fuel upstream of an oxidation catalytic converter in the exhaust gas system of an internal combustion engine. A closing valve and/or a metering valve and an injection valve are integrated downstream of a supply device for fuel into a line leading to a metering unit. A return having a first overflow valve branches off upstream of the metering unit. A further return having a second overflow valve influencing a mean pressure level of the metering unit is disposed between the closing valve and the metering valve.