Wireless binaural hearing system

A wireless binaural hearing system comprises a left-ear hearing device, a right-ear hearing device and auxiliary devices. The devices communicate via radio signals. Each device comprises a radio transmitter transmitting messages, each hearing device comprises a radio receiver receiving messages, the auxiliary device is adapted to transmit application messages, and the hearing devices are adapted to receive application messages. The quality of wireless communication varies when the user moves his head, which may lead to temporal gaps in communication. Such gaps may cause annoying pauses and/or delays in audio signals presented to the user, and the hearing devices may become temporarily unsynchronised. To avoid such gaps and improve reliability of the communication, without increasing the radio signal power, a first hearing device relays received application messages to a second hearing device in dependence on network messages received from the second hearing device indicating whether application messages were correctly received.