In one embodiment, a method comprises identifying, by an apparatus in a deterministic network, a multicast forwarding tree comprising a single multicast source as a root of the multicast forwarding tree, a plurality of terminal destination devices as respective leaves of the multicast forwarding trees, and forwarding network devices configured for forwarding a message, transmitted by the root, to the terminal destination devices; and causing, by the apparatus, the forwarding network devices to deliver the message to each of the terminal destination devices simultaneously at a same arrival time.