Methods and apparatus to manage bypass paths in an Internet protocol (IP) network are disclosed. An example method disclosed herein includes identifying an aggregation router source bandwidth to a first Internet protocol router exceeding a source threshold value, identifying a first value of the aggregation router bandwidth directed to a first destination, identifying a second value of the aggregation router bandwidth directed to a plurality of second destinations, and bypassing the Internet protocol router with a Layer-2 Open systems Interconnection Reference device via a routerless bypass path when the first value of the aggregation router bandwidth exceeds a first threshold value.