In one embodiment, a centralized network management server (NMS) determines a network state of a low power and lossy network (LLN) based on resource utilization due to traffic in the LLN. The NMS also determines an admission state based on the network state, and admission control (network-wide and/or localized control) based on the admission state. As such, the centralized NMS can then administer the admission control for all nodes in the LLN, where network-wide control comprises a single control command to all nodes in the LLN, and the nodes direct admission based on the control command, and where localized control comprises a request-response exchange between the nodes and the centralized NMS, and the NMS directs admission on a per-request basis.