A US federal appeals court has rejected the Trump administration's request to immediately reinstate a travel ban blocked by a federal judge on Friday, media reports said.

The Department of Justice had lodged the request with the Ninth Circuit Court of Appeals as part of an appeal against a lower court order temporarily suspending the travel ban on citizens from seven mainly Muslim countries, reported NDTV, citing Agence France-Presse.

With this, the travel ban will remain suspended until the full case has been heard. The court gave the White House and the states of Washington and Minnesota challenging it a deadline of Monday to present more arguments, according to a BBC report.

The Department of Justice was given a deadline of 3 pm Monday to supply more documents supporting its position.

In its appeal, the Justice Department said Judge James Robart had overreached by "second guessing" the president on a national security matter.

It also argued that only the president could decide who can enter or stay in the US.