(CNN) Lawyers for the Trump administration are asking the Supreme Court to allow the latest version of the President's controversial travel ban to go fully into effect pending appeal.

The third version of the travel ban places varying levels of restrictions on foreign nationals from eight countries: Chad, Iran, Libya, North Korea, Syria, Venezuela, Somalia and Yemen. A district court in Hawaii blocked this iteration of the ban from going into effect last month.

But a three-judge panel of the 9th US Circuit Court of Appeals partially lifted that order on November 13, allowing the ban to go into effect except for foreign nationals who have "bona fide" relationships with people or entities in the United States. The language of that order was adopted from a Supreme Court order pertaining to an earlier version of the ban.

In a separate challenge out of Maryland, US District Judge Theodore D. Chuang issued a similar order also enjoining the ban in a case that is now pending before the 4th Circuit Court of Appeals.

In papers filed with the Supreme Court in both cases, Solicitor General Noel Francisco sought to differentiate the President's most recent ban from prior iterations.

Read More