However, during his campaign, Trump promised to "cancel" US participation in the agreement.
Bannon and Pruitt are said to be among those arguing for a tougher line, keeping with campaign promises and rejecting global agreements that tie the hands of United States industry.
"Dear President Trump", the note reads, "We're still in for bold climate change action".
That means the president will head to the G7 summit in Italy at the end of May amid continued global uncertainty over whether the United States will remain in the emissions-cutting deal struck in Paris under the Obama administration. "You are welcome. It's your nation", Macron said in a widely posted message a few weeks after Trump became president - which began circulating on social media shortly after his win.
President Donald Trump is delaying a decision on whether to withdraw from a landmark climate deal until after an global summit later this month. It's the second time a meeting to discuss the landmark climate agreement has been shelved. Trump's Environmental Protection Agency Administrator, Scott Pruitt, told Fox News in March that the Paris deal was a "bad business deal for America".
Secretary of State Rex Tillerson, formerly chief of oil giant ExxonMobil, supports staying in the accord, but Scott Pruitt, administrator of the country's Environmental Protection Agency, says it "is a bad deal for America" that will cost some US workers their jobs.
For many top members of the administration, the debate over whether to stay in Paris or withdraw has moved beyond simple climate science or diplomatic calculus and into a larger dispute over how the Trump administration plans to position itself at the global negotiating table moving forward.More news: 'US in no position to lecture other countries on human rights'
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Spicer's announcement came the same day that a team of top administration officials postponed deliberations on whether to recommend that the US stay in the pact or exit it, which Trump promised to do during last year's presidential campaign. The two leaders agreed to meet as soon as possible, according to the Chinese foreign ministry.
He said he trusted that "the good sense and pragmatic spirit of President Trump and his team" would prevail.
Advisers had been under pressure to deliver a final recommendation to Mr Trump ahead of the May 26-27 G7 meeting.
US President Donald Trump has expressed scepticism about the pact.
"It's been postponed", a senior official told AFP on Tuesday. But the gathering risks being hamstrung over fears that the U.S., the world's number two carbon polluter, will pull out and throw the agreement into disarray.
Under the agreement, the USA pledged to cut its greenhouse gas emission by 26 to 28 percent from 2005 levels by 2025.