An ultrasound-based measuring device includes a measurement body, at least one ultrasonic transmitter for coupling ultrasonic measurement signals into the measurement body, and at least one ultrasonic receiver for detecting the ultrasonic measurement signals reflected at an end face of the measurement body. The at least one ultrasonic transmitter emits both a longitudinal and a transverse measurement signal. The influence of a physical disturbance variable on the measurement section traversed by the measurement signals during a determination of a measurement pressure prevailing at the end face and/or of a measurement temperature prevailing at the end face can be taken into account on the basis of the propagation times and a difference between the propagation times of the longitudinal and transverse measurement signals reflected at the end face.