Other changes under consideration include revising Medicaid cuts and adding more spending to stabilize premium costs in the individual insurance market, according to a GOP aide who requested anonymity.

Republican leaders have said they want to hold a vote before the recess, which has now been pushed into mid-August, and are prepared to move on to other issues, including a tax-code rewrite, if they can’t develop consensus around a proposed replacement to the 2010 Affordable Care Act.

If there were an imminent vote in the Senate, House Republican leadership would keep their chamber in session into the beginning of August, according to a GOP aide familiar with the plans. However, if the Senate works into the beginning of August and manages to pass a health-care bill, there would be intense pressure from the Trump administration to bring House members back to Washington for another vote, according to the aide.

For the bill to pass, and Republicans to live up to their promise to eliminate President Barack Obama’s signature domestic accomplishment, they can lose no more than two GOP votes from their 52-48 majority amid unanimous Democratic opposition.

Skeptical Republicans

A number of Republicans have been pessimistic about the prospects in recent days.

Republican Senator Susan Collins of Maine, who opposes McConnell’s earlier bill, said in an interview Monday that she was heartened at the majority leader’s suggestion last week that Republicans will have to work with Democrats on a scaled-back measure shoring up Obamacare’s insurance exchanges if the GOP bill dies. She said she’s concerned about the impact of proposed cuts to Medicaid under the broader plan.

"I believe we should not repeat the mistake that President Obama made in passing major legislation with no support from the other party," Collins said.

‘50-50’ Odds

Senator Bill Cassidy of Louisiana said on “Fox News Sunday” that McConnell’s original plan is dead and that what happens with the rewritten version remains to be seen. He put the odds of passing a bill in July at “50-50.”