Story highlights Travel ban against citizens of seven majority-Muslim countries remains blocked

Trump administration looking at ways to more narrowly tailor the ban's language

Could also issue "brand new order," Trump said

A larger panel of the 9th Circuit Court of Appeals may rehear the travel ban case

Washington (CNN) The Trump administration will not immediately appeal the decision blocking its travel ban to the Supreme Court, a source familiar with the matter tells CNN.

The decision to not go to the Supreme Court comes as the White House is examining several options to save President Donald Trump's controversial executive order on immigration.

"We will win that battle. The unfortunate part is that it takes time statutorily, but we will win that battle. We also have a lot of other options, including just filing a brand new order," Trump told reporters onboard Air Force One Friday evening.

Asked if his plan might be to issue a new executive order, POTUS said: "It very well could be. We need speed for reasons of security, so it very well could be."

In the aftermath of a federal appellate court's decisive blow to Trump's move to ban citizens of seven majority-Muslim countries from entering the United States, the White House is working on "possible tweaks" to the executive order, according to a source in close contact with the White House on national security issues.

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