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Secretary of State Rex Tillerson, Secretary of Defense James Mattis and national security adviser H.R. McMaster made the request, the sources said. One of the main reasons is Iraq's role in fighting ISIS.

Homeland Security Secretary John Kelly also supported the move, but it remains unclear whether the White House has made a final decision.

Trump's original executive order, signed a week after he entered the White House, banned citizens of seven Muslim-majority countries -- Iraq, Syria, Iran, Libya, Somalia, Sudan and Yemen -- from entering the US for 90 days, and temporarily suspended the entry of all refugees.

A federal court issued a temporary injunction last month that halted implementation of the travel ban nationwide, and an appeals court declined to reinstate the ban.

The new executive order will make clear that legal permanent residents (otherwise known as green card holders) are excluded from any travel ban, and those with validly issued visas will also be exempt from the ban.

The new order also is expected to revise or exclude language prioritizing the refugee claims of certain religious minorities.

Two sources told CNN they expect Trump will formally revoke the earlier executive order.

CNN's Laura Jarrett, Ariane de Vogue and Jeremy Diamond contributed to this report.

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Top Trump advisers urged Iraq to be removed from new travel ban - CNN