But the Senate still has a full workload in changing its health care bill enough to get 50 "yes" votes. Sens. Shelley Moore Capito and Susan Collins have also expressed reservations about the impact the Cruz amendment would have on individuals with preexisting conditions.
Here's a look at what may be in the new bill.
"Still deep cuts to Medicaid in the Senate bill", she noted. Both were among a half-dozen senators who said they weren't ready to vote to let the bill get to debate, even after huddling with McConnell and Centers for Medicare and Medicaid Services Administrator Seema Verma Thursday afternoon.
"The number of Arizonans with health care is up, uncompensated care is down by 60 percent at hospitals statewide and billions of federal dollars, which are Arizona tax dollars, are flowing into our economy", Carter said.
"We're still talking", Portman said after exiting McConnell's office. Rand Paul (R-Ky.), said he'd be willing to compromise but he wouldn't break his promise to voters to do it.
That is why the American Cancer Society's Cancer Action Network said the bill "would significantly weaken the ability of millions of cancer patients, survivors and those at risk for the disease to find and afford adequate, meaningful health care coverage".
"It has to get passed".
Brian Kilmeade asked Paul why - if the bill is an improvement on ObamaCare - he won't support it and then seek to make it better in the coming years.
Lawmakers returned to Washington on Monday following a ten-day holiday recess with Republican senators still at odds over the healthcare legislation and the Republican president warning Congress not to go on recess without passing the Bill. The four conservative senators originally opposed the original bill for not repealing enough of Obamacare.
McConnell postponed a vote on an earlier version of the bill in June, allowing more time for negotiation. Rather than running health care from Washington, we are going to block grant it to the states.
The latest revision scraps plans to repeal two taxes on wealthy Americans that help fund Obamacare, and also drops a repeal of a tax on health insurance executives.
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