A computer system teams its network resources by apportioning each of the one or more network resources into one of two or more groups. The resources of each of the groups have links that are operative to be coupled in parallel to a different one of two or more network devices that provide connectivity to a network. One of the two or more groups is selected to be a primary group. A team layer2 address is assigned to one of the resources apportioned to the selected group. Each of the resources of the selected group is enabled to receive on the team layer2 address. The network device to which the selected group is coupled is enabled to load balance data received from the network among the resources of the selected group. Data transmitted from the system to the network is load-balanced over all of the resources independent of the group to which they belong.