The LANSCE accelerator concurrently accelerates two beam species, H+ and H-, and delivers beam to five distinct user stations, including slow and fast neutron scattering centers, ultra-cold neutron research, proton radiography, and isotope production. The LANSCE Accelerator Modernization Project (LAMP) will replace the initial sections of LANSCE, from sources through the end of the 100-MeV drift-tube linac. The combination of multiple user stations, and the unique operation of LANSCE, present unique challenges and opportunities. In this paper, we present the performance requirements for LAMP, an overview of the project status and timeline, an overview of the conceptual design, and outlook.