In one embodiment, a device in a network maintains a plurality of network paths for a media session. The device identifies a subset of data for the media session as requiring redundancy. The device sends a packet in the identified subset of data for the media session as redundant packets via two or more of the plurality of network paths for the media session. The device sends a particular packet outside of the identified subset of data for the media session non-redundantly via one of the plurality of network paths for the media session.