WASHINGTON — Top House Republicans scrambling to prevent another collapse of their push to repeal much of the Obama health care law may have found a way to win over some moderate GOP holdouts.

Rep. Fred Upton, R-Mich., an influential centrist who’d initially announced opposition to his party’s health care bill, said he’s crafting an amendment with the backing of party leaders that could gain crucial support for the languishing measure.

Upton and other lawmakers are meeting with President Donald Trump today at the White House to discuss the bill, a senior White House official said. Republicans conservatives and moderates have been at odds over the bill, but a second official said that “all parties signed off on” the amendment. It’s not clear, though, if that’s the case. Both officials spoke on condition of anonymity because they were not authorized to discuss the sensitive talks publicly.

A respected authority on health care, Upton said the proposal would provide $8 billion over five years to help some people with pre-existing medical conditions pay costly insurance premiums. It comes with many moderates opposing the high-priority legislation, even as GOP leaders press holdouts to back it and push it through the House before the chamber begins a weeklong recess scheduled to start Friday.

Upton, former chairman of the House Energy and Commerce Committee, described the plan to The Associated Press late Tuesday. Hours earlier, he said he was opposing the bill because it weakened insurance protections President Barack Obama’s health care overhaul provides people with pre-existing illnesses.