An apparatus may include a processor and a control plane that directs the processor to (1) detect that at least a portion of an initial branch path of a point-to-multipoint label-switched path has failed over to a failover route that rejoins the initial branch path at a merge-point device and (2) establish an alternate branch path that merges with the initial branch path at the merge-point device. The apparatus may also include a network interface and a data plane that uses the network interface to transmit data via the alternate branch path while data is still being transmitted via the initial branch path, where after the data plane begins transmitting data via the alternate branch path, the control plane instructs the merge-point device to forward data from the alternate branch path rather than from the failover route. Various other apparatuses, systems, and methods are also disclosed.