In order to adjust the maximum size of the information sequences transmitted by a plurality of terminals in a network, according to a predetermined network protocol, between two subnetworks supporting different maximum sizes of information sequence: there is stored in an information base, for each of the terminals, an identifier for this terminal and the maximum size of the information sequences allowed by the network protocol for communicating with this terminal; the information base is updated from the analysis of any information sequence conveyed in one of the subnetworks; then, for each information sequence to be transmitted: the identifier of the destination terminal and the corresponding maximum size of the information sequences are read in the information base; the maximum size read is compared with the current maximum size allowed by the network protocol; and, if the maximum size read is less than the current maximum size, the current maximum size is adjusted by allocating to it the value of the maximum size read.