A method for operating a tank leakage diagnosis device, especially of a motor vehicle, volatile fuel (to be degassed) being temporarily stored using an adsorption filter of known absorption capacity or absorption characteristics, and the adsorption filter being regenerated from time to time by purging, using fresh air, to avoid faulty measurements in the tank leakage diagnosis, in particular at elevated fuel degassing. It is provided that the adsorption filter be purged, and, in this context, the volatile fuel removed from the adsorption filter over a predefined time span be integrated, and from that, the loading of the adsorption filter with the volatile fuel, changing during the time span, is ascertained, from the absorption capacity and the absorption characteristics of the adsorption filter, as well as the integrated fuel quantity or the changing loading. The quantity of fuel to be degassed supplied to the adsorption filter from the fuel container in the time span is calculated, and, as a function of the calculated quantity of fuel supplied to the adsorption filter, an intervention is undertaken at the tank leakage diagnosis device.