This article focuses on the control plan of IP over WDM networks. Analytical and measurement studies have shown that self-similar traffic can have detrimental impact on network performance in terms of queuing delay and packet loss ratio. Nevertheless, the ubiquity of scale-invariant burstiness observed across diverse network contexts can be exploited to make more efficient resource-control decisions. This paper shows that an appropriately truncated selfsimilar process keeps the self-similarity behaviour. Hence, we propose to apply prediction methods on the truncated process instead of the original one. This proposition provides (i) dynamic communication abilities between IP and the optical layers (ii) cost reduction related to traffic measurements and (iii) optimization of the network resources utilization.