In one embodiment, an initial path is established in a wireless deterministic network between a source and a destination through one or more intermediate nodes, which are typically informed of a required metric between the source and the destination for communicating a packet. The initial path is locally (e.g., without contacting a path computation engine) reconfigured to bypass at least one of the intermediate nodes creating a new path, with the new path meeting the requirement(s) of the metric. Note, “locally reconfiguring” refers to the network nodes themselves determining a replacement path without reliance on a path computation engine or other entity (e.g., network management system, operating support system) in determining the replacement path. In one embodiment, a network node not on the initial path replaces a node on the initial path while using the same receive and send timeslots used in the initial path.