A method for operating a wireless communication link, having at least one first stationary radio transmitting/receiving device (AP1...AP5) operating according to a first standard that defines local networks, in particular IEEE 802.11 or its derivatives, and providing a first radio coverage area (WLAN NETWORK) of a local network, having at least one second stationary radio transmitting/receiving device (BASESTATION) operating according to a second standard, in particular GSM, and providing a second radio coverage area (PSTN/GSM NETWORK), with the first radio coverage area (WLAN NETWORK) and the second radio coverage area (PSTN/GSM NETWORK) at least partially overlapping, and having a mobile radio transmitting/receiving device which can be operated according to the first and the second standard and having a central interface device (MOBILITY APPLIANCE) between the local network (WLAN NETWORK) and a switched telephone network (PSTN/GSM NETWORK), characterised in that, a) on the part of the mobile radio transmitting/receiving device a1) a voice data communication according to the first standard is prioritised, a2) at least one measurement, in particular a reception field strength measurement, is carried out of at least one variable which indicates the quality of a radio connection operating according to the first standard, a3) a first message (#) reproducing at least the measurement results and containing topology information about the local network is sent to the central interface device (MOBILITY APPLIANCE), b) the central interface device (MOBILITY APPLIANCE) sends, at least on the basis of one of the first messages (#), a message (INFO (#)) to the mobile radio transmitting/receiving device with a recommendation to initiate a changeover of the operation of an existing voice data communication connection from the first radio coverage area to the second radio coverage area, c) the mobile radio transmitting/receiving device takes a decision about activating a communication according to the second standard while analysing stored information and c1) if the decision is positive, carries out the changeover, c2) if the decision is negative, continues operating the voice data communication by way of a communication according to the first standard. a) on the part of the mobile radio transmitting/receiving device a1) a voice data communication according to the first standard is prioritised, a2) at least one measurement, in particular a reception field strength measurement, is carried out of at least one variable which indicates the quality of a radio connection operating according to the first standard, a3) a first message (#) reproducing at least the measurement results and containing topology information about the local network is sent to the central interface device (MOBILITY APPLIANCE), a1) a voice data communication according to the first standard is prioritised, a2) at least one measurement, in particular a reception field strength measurement, is carried out of at least one variable which indicates the quality of a radio connection operating according to the first standard, a3) a first message (#) reproducing at least the measurement results and containing topology information about the local network is sent to the central interface device (MOBILITY APPLIANCE), b) the central interface device (MOBILITY APPLIANCE) sends, at least on the basis of one of the first messages (#), a message (INFO (#)) to the mobile radio transmitting/receiving device with a recommendation to initiate a changeover of the operation of an existing voice data communication connection from the first radio coverage area to the second radio coverage area, c) the mobile radio transmitting/receiving device takes a decision about activating a communication according to the second standard while analysing stored information and c1) if the decision is positive, carries out the changeover, c2) if the decision is negative, continues operating the voice data communication by way of a communication according to the first standard. c1) if the decision is positive, carries out the changeover, c2) if the decision is negative, continues operating the voice data communication by way of a communication according to the first standard.