A method for managing switching of a terminal between a plurality of physical access points to a Wi-Fi network, a virtual access point identifier dedicated to the terminal being assigned by a controller to a first physical access point, the terminal associating with the first physical access point by a first connection using the virtual access point identifier. The method includes at the first access point: transmitting, from the first physical access point to the controller, information relating to the capabilities of the terminal, receiving an order to switch from the first connection to a second connection established between the terminal and a second physical access point of the plurality using the same virtual access point identifier, the first and the second connections being adapted to the capabilities of the terminal.