For QoS control, traffic engineering (TE) of large IP backbone networks becomes a critical issue. However, provisioning network resource efficiently through TE is very difficult for ISPs because the traffic volume usually fluctuates widely over time. The congestion especially from short-lived traffic is difficult to handle due to its bursty arrival process. In the paper, we propose a detour routing schemes for short-lived traffic when congestion occurs. Our study shows that additional hops in detour paths should be carefully restricted to avoid network resource waste under heavy load. The proposed algorithm has less packet loss probability and less resource waste because we restricted the hop count by one or two.