Example methods, apparatus and articles of manufacture to select label switched paths (LSPs) for preemption are disclosed. A disclosed example method includes sorting a first list of first label switched paths based on their respective bandwidths and priorities to form a sorted first list, each of the label switched paths having a lower priority than a requested label switched path, sequentially marking the first label switched paths for preemption based on their position in the sorted list until a bandwidth associated with the marked label switched paths exceeds a bandwidth gap, and configuring a routing engine to preempt the marked first label switched paths.