Michael Pillsbury, a China scholar at the Hudson Institute who advises the White House on trade, said that he had spoken to the president on Thursday afternoon about the agreement.

With pressure growing, administration officials have weighed a variety of options. Michael Pillsbury, a Hudson Institute scholar who advises Mr. Trump, drafted a memo that has been circulated to the White House outlining possible actions.

Michael Pillsbury, a China expert at the conservative Hudson Institute with close ties to the Trump administration, said that Mr. Trump could blunt the measure’s impact on the trade talks by delaying his signature until after such a deal is reached.

“There’s an ongoing debate in Beijing between reformers who would like phase one and hard-liners who see themselves surrounded by hostile forces led by the United States, including in Hong Kong,” said Michael Pillsbury, a China scholar at the Hudson Institute who advises the Trump administration.

“There is a difference between an ambiguous stage-by-stage tariff reduction agreement versus a specific list of which tariffs will be with withdrawn for what Chinese actions,” said Michael Pillsbury, a China scholar at the Hudson Institute who advises the White House. “Neither the Chinese nor the White House has developed a specific list or a series of quid pro quo — yet. That is the next task.”

“This would be another step in ratcheting up the pressure,” said Michael Pillsbury, a China scholar at the Hudson Institute who said he raised the concept of investment restrictions with the White House after negotiations with China broke down in the spring.