The Boston-based 1st US Circuit Court of Appeals declined to put on hold a judge's order halting the Department of Homeland Security's move to cut short a two-year parole granted to the migrants under Trump's Democratic predecessor, Joe Biden.
The department did not immediately respond to a request for comment.
The administration's action marked an expansion of the Republican president's hardline crackdown on immigration and push to ramp up deportations, including of non-citizens previously granted a legal right to live and work in the United States.
Monday's ruling came in a lawsuit by immigrant rights advocates challenging an agency decision to pause various Biden-era parole programs that have allowed Ukrainian, Afghan, Cuban, Haitian, Nicaraguan and Venezuelan migrants to enter the country.
While the case was pending, the Homeland Security Department on March 25 announced in a Federal Register notice that it had decided to terminate the two-year parole granted to about 400,000 Cubans, Haitians, Nicaraguans and Venezuelan migrants.
US District Judge Indira Talwani, an appointee of Democratic President Barack Obama, on April 25 halted the agency's action, which she said revoked previously granted parole and work authorisations for migrants on a categorical basis and without a necessary case-by-case review.
Separately, Trump's administration says it is will pay immigrants in the United States illegally who have returned to their home country voluntarily $US1000.
The Department of Homeland Security said in a press release on Monday that apart from the $US1000 ($A1542) payment, it is also paying for travel assistance and that those people who use an app called CBP Home to tell the government that they plan to return home will be "deprioritised" for detention and removal by immigration enforcement.
"If you are here illegally, self-deportation is the best, safest and most cost-effective way to leave the United States to avoid arrest. DHS is now offering illegal aliens financial travel assistance and a stipend to return to their home country through the CBP Home App," Secretary Kristi Noem said.
Trump has made immigration enforcement and the mass deportation of immigrants in the US illegally a centrepiece of his campaign but that is a costly resource-intensive endeavour.
While the Republican administration is pushing Congress for a massive increase in resources for the Immigration and Customs Enforcement department responsible for removing people from the country, it is also pushing people in the country illegally to "self-deport".
with Reuters
