The court’s brief, unsigned orders on Monday urged appeals courts to move swiftly to determine whether the latest ban was lawful. Justices Ruth Bader Ginsburg and Sonia Sotomayor said they would have denied the administration’s request to allow the latest ban to go into effect.

The court’s orders mean that the administration can fully enforce its new restrictions on travel from eight nations, six of them predominantly Muslim. For now, most citizens of Iran, Libya, Syria, Yemen, Somalia, Chad and North Korea will be barred from entering the United States, along with some groups of people from Venezuela.

The restrictions vary in their details, but in most cases, citizens of the countries will be unable to emigrate to the United States permanently and many will be barred from working, studying or vacationing here.

 Somalis will no longer be allowed to emigrate to the United States, but may visit with extra screening.

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The Supreme Court’s orders effectively overturned a compromise in place since June, when the court said travelers with connections to the United States could continue to travel here notwithstanding restrictions in an earlier version of the ban.