A wireless device, a network node and methods therein are provided for achieving an improved link utilization. The method in a wireless device comprises obtaining a configuration related to a first and a second set of resources which the wireless device may use for requesting communication resources from the network. The method further comprises requesting communication resources for uplink or downlink communication using at least one resource from each set of the first and second set. The method further comprises: when a criterion related to at least one of the first and second set is fulfilled: entering a fallback scheme associated with the fulfilled criterion.