[en] The High Energy Booster (HEB) ring is the last booster of the 20-TeV Superconducting Super Collider (SSC). The 2-TeV beam transfer lines between these two giant accelerator complexes should meet all geometrical and optical matching conditions while having sufficient tuning flexibility. The lattice design of these lines also has to be concerned with the huge energy each HEB extracted batch carries. A compact lattice design with all magnets being resistive was adopted for its optical flexibility, operational reliability, and cost saving. The design study in this paper is an effort to solve inter-accelerator transfer line optical problems dealing with insufficient phase advance and strict matching requirements