The invention relates to a method of utilizing a system for monitoring the temperature and/or the pressure of the tires of a vehicle (C) comprising one or more rolling sub-assemblies (100, 200), noteworthy in that it consists in installing on each rolling sub-assembly (100, 200), an additional storage and communication module (300′) comprising: —a data storage means in which are recorded, during a learning phase, the set of unique identifiers and the locations of each measurement and communication pick-up module (300) of said rolling sub-assembly (100, 200), —a means of communication at least with the reception and transmission modules (400) and installed on the rolling sub-assembly, —a means of storing energy for the purposes of powering the communication means, so that said storage and communication module (300′) can retain in memory the set of identifiers and associated locations of the same sub-assembly (100, 200) and can communicate it instantaneously. The invention also relates to the device allowing the method to be implemented. Applications: utilization of a system for monitoring tires.