Techniques are described for establishing lower priority LSPs on paths determined to be less likely to include bandwidth constrained links. In one example, a router includes a plurality of physical interfaces each having at least one link interconnecting the router as one of a plurality of routers in a network and a processor. The processor is configured to determine whether a link of one of the plurality of physical interfaces is congested based at least in part on an amount of available bandwidth on the link, and, responsive to determining that the link is congested, set a bandwidth subscription for the link, wherein the bandwidth subscription specifies that the amount of available bandwidth on the link for label switched paths having a lower priority is less than the amount of available bandwidth on the link for label switched paths having a higher priority.