"It's working out very nicely. You see it at the airports, you see it all over," Trump told reporters even as the sweeping immigration order caused chaos and confusion at airports across the country, triggering widespread protests.
He, however, denied that barring refugees from several predominantly Muslim nations amounted to a ban on Muslims.
"It's not a Muslim ban, but we are totally prepared," Trump told reporters after he signed three more executive orders related to lobbying ban, plan to defeat ISIS and reorganisation of National Security Council.
The countries impacted are Iran, Iraq, Syria, Sudan, Libya, Yemen and Somalia.
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The controversial move, signed a week after he was sworn- in as the President, fulfills the vow Trump made on the campaign trail to limit Muslim immigration to the US.
The immigration order, however, hit a roadblock when a federal judge today issued an emergency order temporarily barring authorities from deporting refugees and other visa holders who have been detained.
Speaking on condition of anonymity, the official listed off several predominantly Muslim countries that the order does not apply to.
The official said the US still took in "more foreigners than any other country in the history of civilisation" and that the number of people impacted by the executive order was relatively small.
"We're dealing with a relatively small universe of people," the official said.
"It's important to keep in mind that no person living or residing overseas has a right to entry to the US," the official added.
Those Green Card holders in the US will have to meet with a consular officer before leaving the country, the official said.
The official said the administration is still working to define what "in transit" means for the purposes of the hardship exemption for refugees who have been approved to enter the US but are currently in a third country.
"The White House is aware of reports that Iran plans reciprocal steps in response to the executive order," the official said, adding if those measures are indeed reciprocal, it means that the Iranians will review each individual on a case by case basis.
The other executive action calls on military leaders to present a report to the president in 30 days that outlines a strategy for defeating ISIS.
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