In one embodiment, an inter-domain routing protocol stores an inter-domain routing protocol route having an associated next-hop address. A routing table is searched for an for an intra-domain routing protocol route that may be used to reach the next-hop address of the inter-domain routing protocol route. Such route is marked as an important route for convergence. Later, in response to a change in the network requiring a routing table update, the intra-domain routing protocol route marked as an important route for convergence is processed by an intra domain routing protocol before any other intra-domain routing protocol routes are processed that are not marked as important routes for convergence.