A wireless network (1) comprises mesh devices and non-mesh devices. A medium access control architecture incorporates at least a point coordination function as an access method, wherein the point coordination function starts a contention-free period (30) with a beacon (32) so that a non-polled transmission by the non-mesh devices is prevented. Further, the mesh devices are enable to communicate during the contention-free period (30). Hence, communication between the mesh devices is priorisized so that a high reliability is achieved and utilization of the wireless network (1) is optimized.