In one embodiment, a method comprises: receiving, by a transport layer executed by a processor circuit in an apparatus, a flow of application data having been originated by an executable application; storing, by the transport layer, the application data as transport layer packets in a buffer circuit in the apparatus, each transport layer packet having a corresponding transport sequence identifier identifying a corresponding position of the transport layer packet relative to a transmit order of the transport layer packets; and causing, by the transport layer, a plurality of deterministic network interface circuits to deterministically retrieve the transport layer packets, in the transmit order, from the buffer circuit for deterministic transmission across respective deterministic links, the transport sequence identifiers enabling a destination transport layer to recover the transmit order of the transport layer following the deterministic transmission across the deterministic links, regardless of order of reception by the destination transport layer.