The Internet of Things environment is described by a large number of connected physical objects that have their own digital identity and capable of communicating with each other through wireless interfaces and through information and communication technologies. The networked objects (nodes) are generally characterized by limited resources (low capacity of calculation, storage, energy, etc.). In order to overcome this weakness, each of these connected nodes can delegate the execution of a set of tasks to another selected node in the network or to an Edge Server in the periphery of the network via a routing protocol. Thus, to process them, the destination node (with unlimited resources) must firstly have the appropriate environment represented by the virtual machine of the source node. In order to offer the possibility of migrating virtual machines in the network, we aim in the present study to modify the OLSR routing protocol in such a way to introduce the predictive dynamic available bandwidth as a criterion for the construction of routes. In addition, to reduce the mobility effects on the network topology, the predicted lifetime of links to be broken is taken into account. To validate our approach, intensive simulations have been made with NS3 and have shown the effectiveness of our proposal.