But TPS grants people with no status with certain kind of status that allows them for AOS in US. Only requirement is you need to have entered US legally.
http://www.immigrationpolicy.org/litigation/temporary-protected-status-tps-and-adjustment-status
https://cliniclegal.org/resources/articles-clinic/sixth-circuit-finds-tps-creates-eligibility-adjustment-under-section-245a