A method and network access point selection logic are described for a redundantly connected industrial LAN node including at least primary and backup network access points. Network connectivity is determined by a redundantly connected node by testing connectivity between the node's primary and backup physical network access points. Upon detecting a loss of connectivity between the redundant node's primary and backup network access points, the node executes access point selection logic, based upon tests of connectivity between the redundantly connected (primary and backup) network access points and a set of nodes on the LAN, to select a preferred/primary one of the redundant access points. Thereafter, the redundantly connected node binds its connections according to primary and backup designations for its redundant network access points.