Disclosed is a method and system to help manage communication in a network configured to support an inter-network fallback process in which the network passes pre-registration signaling and call-setup signaling between a fallback network and user equipment devices (UEs) served by the network to facilitate transition of UEs from being served over one air interface protocol by the network to being served with calls over a different air interface protocol by the fallback network. When the network detects a threshold extent of failure of the inter-network fallback process with respect to at least one UE served in a first coverage area provided by the network, the network may responsively direct one or more UEs served in the first coverage area to each hand over from the first coverage area to at least one second coverage area provided by the network instead of transitioning to be served by the fallback network.