Embodiments of the invention concern a method for transmitting digital messages through a microprocessor monitoring circuit of specific type and integrated to a microprocessor, each message including an identifier and consisting of several groups of successive and juxtaposed bits divided into segments. The method consists in successively transmitting segments associated with a first group corresponding to the identifier and comprising a fixed number of bits; with second groups, at least one of the second group comprising a fixed number of bits depending on the type of monitoring circuit, the number of other second groups being independent of the type of monitoring circuit; with a third group comprising a number of bits greater than one; and with fourth groups comprising each a number of bits greater than one, the number of fourth groups depending on the identifier and on the type of monitoring circuit.