Disclosed are systems and methods for steering network traffic over different access networks based on a classification of the network traffic. A first access network provides a first network path between a client device and a destination network and a second access network provides a second network path between the client device and the destination network. The access networks have different characteristics, such as latency or available bandwidth. A traffic classifier receives network messages and assigns classifications to the received network messages. A policy enforcer determines routes for individual network messages. The determined route is based at least in part on the classification assigned by the traffic classifier.