A test-specimen drying and leak testing method for at least one wet and/or moist test specimen, wherein - the use of a special test gas is dispensed with for the leak test, - the leak test is carried out under the surrounding atmosphere, and once the test space, which is to be dried and to be tested for tightness, of the test specimen has been sealed off, at least the following steps are carried out: a) generating a first vacuum level in the test space, which is to be tested, of the test specimen, with an evacuation arrangement and keeping this first vacuum level at the evaporation pressure of water or a liquid which is to be removed, so that the water, liquid and/or moisture located in the test space of the test specimen to be tested is evaporated due to the lower pressure within the test space and is removed by the evacuation arrangement; b) generating a second vacuum level with the evacuation arrangement in the test space, which is to be tested, of the test specimen, the second vacuum level being higher than the first vacuum level; and c) testing the evacuated test space of the test specimen for tightness by analysing the constituents of the vacuum within the test space, which is to be tested, of the test specimen, with a quadrupole mass spectrometer, with a leak test being carried out on the basis of a constituent or the constituents, the change in intensity thereof, the partial pressure or the partial pressure thereof, and/or the change over time within the test space, which is to be tested, of the test specimen. - the use of a special test gas is dispensed with for the leak test, - the leak test is carried out under the surrounding atmosphere, and once the test space, which is to be dried and to be tested for tightness, of the test specimen has been sealed off, at least the following steps are carried out: a) generating a first vacuum level in the test space, which is to be tested, of the test specimen, with an evacuation arrangement and keeping this first vacuum level at the evaporation pressure of water or a liquid which is to be removed, so that the water, liquid and/or moisture located in the test space of the test specimen to be tested is evaporated due to the lower pressure within the test space and is removed by the evacuation arrangement; b) generating a second vacuum level with the evacuation arrangement in the test space, which is to be tested, of the test specimen, the second vacuum level being higher than the first vacuum level; and c) testing the evacuated test space of the test specimen for tightness by analysing the constituents of the vacuum within the test space, which is to be tested, of the test specimen, with a quadrupole mass spectrometer, with a leak test being carried out on the basis of a constituent or the constituents, the change in intensity thereof, the partial pressure or the partial pressure thereof, and/or the change over time within the test space, which is to be tested, of the test specimen. a) generating a first vacuum level in the test space, which is to be tested, of the test specimen, with an evacuation arrangement and keeping this first vacuum level at the evaporation pressure of water or a liquid which is to be removed, so that the water, liquid and/or moisture located in the test space of the test specimen to be tested is evaporated due to the lower pressure within the test space and is removed by the evacuation arrangement; b) generating a second vacuum level with the evacuation arrangement in the test space, which is to be tested, of the test specimen, the second vacuum level being higher than the first vacuum level; and c) testing the evacuated test space of the test specimen for tightness by analysing the constituents of the vacuum within the test space, which is to be tested, of the test specimen, with a quadrupole mass spectrometer, with a leak test being carried out on the basis of a constituent or the constituents, the change in intensity thereof, the partial pressure or the partial pressure thereof, and/or the change over time within the test space, which is to be tested, of the test specimen.