A disclosed method may include (1) measuring a quality level of a first instance of a video flow received via a first link within a network, (2) measuring a quality level of a second instance of the video flow received via a second link within the network, (3) determining that the quality level of the second instance of the video flow is better than the quality level of the first instance of the video flow, and then in response to determining that the quality level of the second instance of the video flow is better, (4) performing a flow-level switchover from the first instance of the video flow to the second instance of the video flow by (A) activating the second instance of the video flow and (B) deactivating the first instance of the video flow. Various other apparatuses, systems, and methods are also disclosed.