Sen. Charles E. Grassley, Iowa Republican, said over the recess that there is "a real feeling" that Mr. Cruz's plan could amount to "subterfuge" to get around regulations that protect people with pre-existing medical conditions. John McCain, R-Ariz., said on CBS's "Face the Nation".
"The Democratic leader has given very conflicting signals over whether or not he really wants to work with Republicans", she said.
Sen. Pat Toomey (R-PA) recently revealed that the reason he believes Republicans have had so much trouble repealing Obamacare is that he and other Republicans did not expect President Donald Trump to win the election in November.
Facing few good options, Mr. McConnell last week signaled that Congress will have to patch up Obamacare's ailing markets if Republicans can not smooth over their differences and pass a replacement plan. "Now they finally have their chance!" he tweeted.
The week-long recess in Senate prompted many Senators to return to their constituencies, thus giving them an opportunity to gauge the public response to the new bill and the response has been overwhelmingly against it.
The Gallup-Sharecare Well-Being Index, published Monday, found that the uninsured rate among US adults was 11.7 percent in the second three months of this year, compared with a record low of 10.9 percent at the end of last year. Ben Sasse, R-Neb., suggested that Republicans could repeal most of the ACA, forcing Democrats to the table to work on a replacement. He can only afford to lose two out of 52 Republican senators.
McConnell was studying changes aimed at gaining Republican support for the bill, which has encountered opposition from both ends of the party's spectrum. Clearly, the draft plan is dead. "Is the serious rewrite plan dead?"
"I'm not claiming that bill's flawless but it provides a foundation from where we could proceed", she said.
Critics have derided the bill as a giveaway to wealthy Americans who would see some tax increases rolled back.
The nonpartisan Congressional Budget Office, which assesses the impact of legislation, estimated 22 million people would lose health insurance over the next decade under the Senate bill.
U.S. Sen. Rand Paul says Senate Republicans remain at an impasse over a bill that would replace President Barack Obama's health care overhaul. He pointed to an amendment he offered that is being scored by the CBO.
Repealing and replacing the Affordable Care Act, dubbed Obamacare, was a central campaign pledge for Trump.
Cruz's plan, which aims to lower premiums for healthy people, has drawn support from the White House and some conservatives in the House, which would have to approve any modified bill passed by the Senate. But it has limited appeal to Republican moderates who worry it would lead to unaffordable prices for people with pre-existing medical conditions.
It's "almost impossible to try to solve when you're trying to do it with 51 votes in the United States Senate, in which there is not significant consensus on what the final result ought to be", Sen.
Conservative Sens. Ted CruzTed CruzSenate GOP eyes ObamaCare repeal vote next week Key GOP senator: Revised Senate healthcare bill expected Monday Trump: Congress wouldn't "dare" leave without "beautiful" healthcare bill MORE (R-Texas) and Mike LeeMike LeeKey GOP senator: Revised Senate healthcare bill expected Monday Republicans debate Plan B if ObamaCare repeal fails Week ahead: Senate Republicans look to overcome ObamaCare divisions MORE (R-Utah) have threatened to vote against the bill unless it allows insurance companies to sell health plans that do not comply with ObamaCare's regulatory requirements as long as they offer at least one plan that does.
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