In a system for monitoring the pressure of the tires of a vehicle, it is proposed to compensate the raw data of the parameters of the tires only if the comparison of the successive raw data of at least one reference parameter exhibits a deviation, in absolute value, greater than a determined threshold of variation. In a TPMS monitoring system, each wheel unit includes sensors for measuring the parameters of pressure, temperature and acceleration, and elements of storage and autonomous power supply, in conjunction with a processor. The raw data provided by the sensors are stored, compensated and transmitted as finalized data by a radiofrequency emission circuit to a central unit. It is proposed that the wheel unit also includes, in a processing module, comparison elements, external to the processor, for comparing between successive raw data of one and the same parameter that are provided by the measurement sensors.