Steve Bannon and Ivanka Trump are reportedly squabbling over the fate of America's involvement in a landmark climate change treaty, as the president weighs whether he should prioritize his campaign promises over the diplomatic fallout if he backs out of the Paris Agreement.

The New York Times reported that the president's top strategist and his daughter are clashing, with Ivanka urging him to stay the course and remain committed to the deal that President Barack Obama struck in 2015 with 193 other countries.

But Steve Bannon, Donald Trump's most conservative adviser in the West Wing, is pressing him to follow through on a pledge to 'cancel' the agreement.

Secretary of State Rex Tillerson is siding with Ivanka, telling the president that following through would have dire consequences for America's credibility in future diplomatic negotiations.

Steve Bannon (left) and Ivanka Trump (right) have emerged as the main combatants in a White House war over the future of America's participation in the Paris climate change treaty

President Donald Trump is said to be weighing the impact of following through on a campaign pledge to withdraw the U.S. from the deal

Trump is expected to sign an executive order next week directing newly minted Environmental Protection Agency chief Scott Pruitt to begin what the Times calls a 'lengthy legal process' to unwind Obama's greenhouse-gas regulations.

Once that process is complete, the U.S. will no longer be incompliance with the Paris Agreement. From there, Trump could launch into a four-year procedure to officially withdraw the U.S.

The Wall Street Journal reported this week that Ivanka and her husband Jared Kushner had talked Trump out of specifically mentioning the climate treaty in the coming executive order – a decision that will keep his options open.

If he reverses course, however, it would reassure his base that campaign promises about siding with America's coal miners instead of environmental activists was not just hot air.

Politico reported in December that Ivanka was positioning herself as a bridge between her father's conservative administration and liberal elites, whose circles she still runs in.

Secretary of State Rex Tillerson (right) is said to be on Ivanka's side, warning that if the U.S. pulls out of the deal, othe rnations will take a jaundiced view of Trump's future diplomatic promises

American opinions are split on the central question of whether human activity causes global warming; Blue areas on this Yale University map represent parts of the country where that belief is the least common

At the Republican National Convention, for instance, Ivanka endorsed equal pay and paid parental leave. He father in September unveiled a plan to pay for six weeks of leave for new mothers and lower the cost of childcare.

Ivanka wants climate change to be another issue in her White House portfolio, a source close to her told Politico in early December. A few days later, she met with former Vice President Al Gore.

In 2007 the Democrat won the Nobel Prize for his climate change work.

'It's no secret that Ivanka Trump is very committed to having a climate policy that makes sense for our country and for our world,' Gore told MSNBC after meeting with Ivanka and her father.

'That was certainly evident in the conversation that I had with her before the conversation with the president-elect,' Gore said. 'I appreciate the fact that she's very concerned about this.'

Donald Trump has claimed that climate change is a hoax.

Chief of Staff Reince Priebus has said that the president still believes that 'most of it is a bunch of bunk.'