The LEGEND Collaboration pursues an experimental program to discover the neutrinoless double-beta decay of Ge-76, using an array of high-purity Ge detectors operated in a bath of liquid argon. The program follows a staged approach starting with a 200-kg mass experiment currently under preparation at the Gran Sasso Laboratory in Italy. LEGEND-200 will begin operations in 2021, reaching in five years the sensitivity to probe double-beta decay half-life values up to 1e27 years. The second stage will be a 1000-kg experiment with a discovery power beyond 1e28 years. LEGEND-1000 will not only be able to test the full parameter space assuming the inverted neutrino mass ordering, but it will also have a high discovery potential assuming normal ordering and other new-physics scenarios. The design of LEGEND-1000 builds on the successful technology pioneered by the GERDA and MAJORANA DEMONSTRATOR Collaborations, and further refined for LEGEND-200. The conceptual design of LEGEND-1000 is under preparation assuming several possible host laboratories, including SNOLAB.