A method for transmitting data between a network node of a mobile communication network and a mobile terminal, implemented by the network node after receiving a data packet intended for the mobile terminal. The method includes: sending an alert message to the mobile terminal after receiving the data packet; receiving in response a service request from the mobile terminal; determining in accordance with a parameter received during a phase of attaching the mobile terminal to the network, a channel among a data transport channel and a signaling channel of the mobile network; when the data-transport channel is to be used, establishing a data-transport channel between the mobile terminal and the network node and transmitting the data packet via the data-transport channel; and when the signaling channel is to be used, inserting the data to be transmitted into a signaling message and transmitting the signaling message towards the mobile terminal.