The Fifth Circuit has concluded that Temporary Protected Status (TPS) is not an admission for adjustment of status purposes. However, the Court noted that a TPS holder could obtain advance parole, travel abroad, and return to the United States. Their return would meet the requirement of being inspected and paroled for adjustment of status.
The full text of Solorzano v. Mayorkas can be found here:
https://www.ca5.uscourts.gov/opinions/pub/19/19-50220-CV0.pdf