With the current ban on people from Iran, Libya, Somalia, Sudan, Syria and Yemen due to expire on Sunday, Trump was given recommendations by Elaine Duke, the acting homeland security secretary, but has not yet made a decision on the details of the new order, the officials told reporters.
The officials declined to say which or how many countries would be targeted.
White House spokesman Raj Shah told reporters in a conference call that while "we can't get into decision-making," the next step will be a presidential proclamation setting out the new policy. He declined to say when that would come.
Trump's six-nation travel ban was laid out in a March 6 executive order that was blocked by federal courts before being allowed to go into effect with some limits by the U.S. Supreme Court in June.
The expiring ban blocked entry into the United States by people from the six countries and locked out most aspiring refugees for 120 days to give Trump's administration time to conduct a worldwide review of U.S. vetting procedures for foreign visitors. The existing refugee ban expires on Oct. 24.
"We need to know who is coming into our country," Miles Taylor, counsellor to the secretary of homeland security, said. "We should be able to validate their identities and we should be able to confirm that our foreign partners do not have information suggesting such individuals may represent a threat to the United States.
"That is a fundamental obligation of the U.S. government, and it's something that drove this process from start to finish."
Under the recommendations Trump is weighing, there would be restrictions on U.S. entry that differ by nation, based on cooperation with American security mandates, the threat the United States believes each country presents and other variables, the officials said.
Supreme Court Battle
The legal question of whether that ban discriminates against Muslims in violation of the U.S. Constitution, as lower courts previously ruled, will be argued before the Supreme Court on Oct. 10.
On Sept. 15, Trump wrote on Twitter, "The travel ban into the United States should be far larger, tougher and more specific-but stupidly, that would not be politically correct!"
The March travel ban and an earlier January one that targeted the same six countries as well as Iraq are some of the most controversial actions taken by Trump since assuming office in January.
Critics have called the policy an unlawful "Muslim ban," accusing the Republican president of discriminating against Muslims in violation of constitutional guarantees of religious liberty and equal protection under the law, breaking existing U.S. immigration law, and stoking religious hatred.
Trump has defended the travel ban and has promised that "radical Islamic terrorism" will be "eradicated."
The March order was intended to address legal issues raised by his January order, which caused chaos at airports worldwide and prompted protests in major U.S. cities and airports. States including Hawaii, the American Civil Liberties Union and refugee resettlement agencies challenged the March order in court.
The March order took effect on June 26 after the Supreme Court allowed the ban to go into effect for "foreign nationals who lack any bona fide relationship with a person or entity in the United States."
(Except for the headline, this story has not been edited by NDTV staff and is published from a syndicated feed.)
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.