In one embodiment, a particular node in a shared-media communication network determines a resource level and in response to determining a trigger condition (e.g., that the resource level is below a threshold), the particular node enters a selective forwarding mode. In the selective forwarding mode, the particular node does not forward non-critical messages. The particular node also notifies one or more neighboring nodes in the shared-media communication network of the entered selective forwarding mode. In another embodiment, a node may receive from a neighboring node, an indication of having entered a selective forwarding mode, and in response the node may forward only critical messages to the neighboring node.