But ahead of the president's bipartisan health "summit" on Thursday, Republicans also think they may have a winning hand, after building their resurgence on blanket opposition to the plan and Obama's wider agenda.
The White House said it would release details of the plan on its website Monday.
Thursday's live, televised meeting at Blair House, across the street from the White House, may represent Obama's last chance to pass the plan, which has ground to a halt in Congress with painful consequences for his political authority.