The opposition forced McConnell to delay a planned vote on the bill before the week-long July 4 recess, during which he raised doubts that the bill would ever be passed.
Over the weekend, Grassley tweeted that if Republicans don't complete a bill, "WE WILL GO FROM MAJORITY TO MINORITY".
One of these votes may belong to Sen.
The bill that will replace ex-President Barack Obama's Affordable Care Act has been facing challenges since it was first mentioned by President Trump, and it seems that the troubles are not yet over, by far.
Baldwin said she met with people with pre-existing health conditions who feared they wouldn't be able to obtain coverage - or could have health care access restricted through lifetime or annual coverage limits - if the Republican health care changes are enacted.
"I don't understand it. if you shut the adversary or the opposite party, you're going to end up the same way Obamacare did when they rammed it through with 60 votes", McCain told CBS News' John Dickerson during an interview. If three of the 52 GOP Senators oppose the bill, it will fail in the Senate. Families making more than $1 million a year would get tax cuts averaging about $50,000, according to the analysis by the Health Policy Center and the Tax Policy Center.
For Connecticut, Murphy said, the stakes are high. Say to the Democrats, 'Here's a bill.' It doesn't mean they don't, that they control it.
But the overall bill also contains more than $100 billion that states could give to insurers to help them contain premiums. Republican Senate Majority Leader Sen. Ted Cruz of Texas and Mike Lee of Utah. A number of Republican legislators have expressed reservations about the legislation, including Senators Susan Collins (R-ME), Rand Paul (R-KY) and Dean Heller (R-NV).
This year, the two House committees involved in drafting legislation each held one markup session - the closest thing to a public writing and approval of a bill - with each lasting a day.
In their bill, the duo promised that the proposal would give more power to the states on health care policy, increase access to affordable insurance and help cover millions of Americans who are now uninsured.
"I think there's still a path", said Sen. "And if you could create a way for people to buy into that, instead of paying an insurance company, I think you would get costs down, because there's no profit in Medicare and Medicaid".
Grassley spoke on the Fox News Channel.