An inline measuring device which serves for measuring at least one physical, measured variable of a medium conveyed in a pipeline, includes a measurement pickup of vibration-type, as well as a measuring device electronics electrically coupled with the measurement pickup. The measurement pickup includes at least one, essentially straight measuring tube serving to convey the medium to be measured and communicating with the connected pipeline, an exciter mechanism acting on the measuring tube for causing the at least one measuring tube to vibrate, during operation, at least at times and / or at least in part, with torsional oscillations about a torsional oscillation axis imaginarily connecting an inlet end of the measuring tube and an outlet end of the measuring tube, as well as a sensor arrangement for registering vibrations of the at least one measuring tube and delivering at least one oscillation measurement signal representing oscillations of the measuring tube. The measuring device electronics delivers, at least at times, an exciter signal driving the exciter mechanism and generates, by means of the at least one oscillation measurement signal and / or by means of the exciter signal, at least at times, at least one measured value, which represents at least one physical, measured variable of the medium to be measured. Moreover, the measuring device electronics determines, on the basis of the at least one oscillation measurement signal and / or on the basis of the exciter signal, repetitively, an oscillation frequency of the torsional oscillations of the measuring tube and the measuring device electronics monitors, based on the oscillation frequency of the torsional oscillations, at least one operating condition of the at least one measuring tube. Additionally provided is an inline measuring device of the described kind used for monitoring an operating condition of a tube wall, especially also a section of the attached pipeline.