In one embodiment, a device in a network receives data regarding traffic volumes of deterministic and non-deterministic traffic along a first path in the network. The device predicts, using the received data, an increase in the traffic volume of the non-deterministic traffic along the first path in the network. The device identifies a period of time associated with the predicted increase in the traffic volume of the non-deterministic traffic along the first path. The device causes the deterministic traffic to be sent along a second path in the network during the identified period of time, to allow the first path to accommodate the predicted increase in the traffic volume of the non-deterministic traffic along the first path.