The invention relates to a method and an apparatus for measurement of the thickness of thin layers by means of a measurement probe (11) which has a housing (14) which holds at least one sensor element (17) whose longitudinal axis lies in particular on a longitudinal axis (16) of the housing (14), in which at least during the measurement process, a gaseous medium is supplied to a supply opening (21) of the measurement probe (11) on a measurement surface (28), and is supplied via at least one connection channel (24), which is connected to the supply opening (21), to one or more outlet openings (26) which are provided on an end face (29), pointing towards the measurement surface (28), of the measurement probe (11), and in which at least one mass flow, which flows out of one or more outlet openings (26), of the gaseous medium is directed at the measurement surface (28), and in which the measurement probe (11) is held in a non-contacting manner with respect to the measurement surface (28) during the measurement process.