Techniques are described for reducing the amount of data traffic carried on inter-chassis links within a multi-chassis router. A multi-chassis router is described in which the packet forwarding engines (PFEs) of each chassis receive and modify forwarding structures, generated in accordance with various load-balancing protocols, to exhibit a chassis-local link preference. Each of the PFEs may implement a selection bias for forwarding paths that egress from the multi-chassis router at the member chassis that includes the ingress PFE.