But Gov. Scott Walker said late last week that he supported Johnson's position.
The Senate's 142-page proposal, worked out in secret by a group led by McConnell, aims to deliver on a central campaign promise of President Donald Trump to undo former President Barack Obama's signature healthcare law, which has provided coverage to 20 million Americans since it was passed in 2010.
Sen. Susan Collins of ME says she thinks getting the votes needed in the Senate this week to pass a Republican bill to replace the Affordable Care Act could be very hard.
"For my part, I'm very concerned about the cost of insurance for older people with serious chronic illnesses and the impact of the Medicaid cuts on our state governments, the most vulnerable people in our society, and health care providers such as our rural hospitals and nursing homes, most of whom are very dependent on the Medicaid program".
"It makes absolutely no sense to eliminate federal funding for Planned Parenthood", Ms. Collins told ABC News, noting that federal funds can not be used directly for abortion anyway. So far, a handful of Republicans have said they oppose the bill in its current form.
But Senate Majority Leader Mitch McConnell wants a vote on the bill before congress leaves for its July 4th holiday. Assuming no Democratic senator votes in favor of the bill, the Kentucky senator can afford to lose only two Republican senators and still pass the bill.
On Friday, a fifth GOP senator, Dean Heller of Nevada, said he does not support the bill.
Sen. Charles E. Schumer, New York Democrat, put the Republicans' odds at 50-50.
The health care industry and activists are putting outside pressure on Senate Republicans eager to complete a seven-year-long mission to repeal Obamacare.
Republicans view the law, formally known as the Affordable Care Act, as a costly government intrusion and say individual insurance markets created by it are collapsing.
Progressive groups predicted IL will see hundreds of thousands people lose health insurance coverage if Congress approves the Senate Republican plan to replace Obamacare. Republicans say reining in Medicaid spending would force states to focus on those who need it most, though moderates worry that the cuts would yank coverage from needy residents and cripple the fight against opioid addiction.
"I don't think he's leading it", Trump said. The Senate would phase out Obamacare's expansion of the Medicaid program for the poor more gradually than the House bill, waiting until after the 2020 presidential election, but would enact deeper cuts starting in 2025.
Kathy Waligora, a director with EverThrive Illinois, said she's horrified by the Republican plans in both the House and Senate, because they would allow states to petition to get out of ACA requirements to cover maternal care, children's dental care, and prescription medication.
Trump was interviewed by "Fox & Friends", while Collins, Schumer and Paul appeared on ABC's "This Week".