The invention relates to a dosing device (100) for introducing an operating means especially into an exhaust manifold (140) of an internal combustion engine (210). Said dosing device (100) comprises a cooling system for cooling particularly an injector module (110) of the dosing device (100). The cooling system is provided with a cooling circuit (115) encompassing at least one cooling fluid and at least one cooling device (120) which dissipates heat from the cooling circuit (115). A first portion (115a) of the cooling circuit (115) is disposed at least in part below the cooling device (120) and/or a second portion (115b) of the cooling circuit (115) is located at least in part above a point that heats the cooling circuit (115), especially above the injector module (110).