A first network device may communicate, in association with a tunnel establishment network protocol, with a second network device to cause a network tunnel between the first network device and the second network device to be established. The first network device may determine, based on communicating with the second network device to cause the network tunnel to be established, that the network tunnel is to support network micro-tunnel functionality within the network tunnel. The first network device may communicate, based on determining that the network tunnel is to support network micro-tunnel functionality, with the second network device to identify a traffic class, of one or more traffic classes, to which network micro-tunnel functionality within the network tunnel is to be applied. The first network device may cause a network micro-tunnel to be established within the network tunnel for traffic associated with the traffic class.