Majority Leader Mitch McConnell's new strategy to repeal the Affordable Care Act without concurrently passing a replacement hit an immediate snag on Tuesday morning as two Republican senators declared their opposition to the plan and several others said they were very skeptical.

After declaring the Better Care Reconciliation Act unviable on Monday, McConnell said he plans to bring up repeal legislation using a procedural maneuver that involves first taking up the repeal-and-replace bill passed in May by the House, and then introduce an amendment to replace the entirety of the text with a repeal bill passed by the Senate in 2015 that was later vetoed by former President Barack Obama. The new plan would also set a two-year deadline for crafting a replacement.

Sen. Susan Collins of Maine is the only sitting Republican senator who voted against the repeal bill in 2015, and on Tuesday she said she would refuse to support a procedural motion to put the the House-passed bill to the floor.

"I voted against this approach in 2015, and I do not think that it is going to be constructive to repeal a law that is at this point so interwoven within our health care system and then hope that over the next two years we will come up with some kind of replacement," she told reporters.

"I think that would create great anxiety for individuals who rely on the [Affordable Care Act], I think it would cause the insurance markets to go into turmoil, and I don't think it is the right way to proceed."

Instead, Collins called on the chairman of the Health, Education, Labor and Pensions Committee, Sen. Lamar Alexander of Tennessee, to begin to hold hearings on ways to "fix the many egregious flaws in the ACA so that it will work better for our country and for all Americans."

West Virginia Sen. Shelley Moore Capito, who had been officially undecided on the Senate's repeal-and-replace bill that collapsed on Monday night, also said she opposed the new strategy.

"As I have said before, I did not come to Washington to hurt people," she said in a statement.

"For months, I have expressed reservations about the direction of the bill to repeal and replace Obamacare. I have serious concerns about how we continue to provide affordable care to those who have benefited from West Virginia's decision to expand Medicaid, especially in light of the growing opioid crisis," she continued. "All of the Senate health care discussion drafts have failed to address these concerns adequately. My position on this issue is driven by its impact on West Virginians. With that in mind, I cannot vote to repeal Obamacare without a replacement plan that addresses my concerns and the needs of West Virginians."

Sen. Lisa Murkowski of Alaska also came out against McConnell's new plan on Tuesday. She has previously said that she does not support passing a repeal without also passing a replacement.

"With a new administration & new Congress we have an opportunity to fix failures of #Obamacare, but a repeal and replace need to coincide," she tweeted in January .

Republicans hold a 52-seat majority in the Senate, and can only afford to lose two votes in order for McConnell's plan to move forward.

Several other senators have indicated they are leaning against McConnell's latest plan.

Sen. Rob Portman of Ohio, who has been under pressure from his state's Republican Gov. John Kasich to oppose the various Senate bills which have included rollbacks of Obamacare's Medicaid expansion, seemed skeptical in comments to reporters on Tuesday.

Portman said the facts have changed for Ohioans since he supported the repeal bill in 2015, thanks to " uncertainty " over the future of the Affordable Care Act that has caused insurers to pull out of the individual markets, leaving many counties without plans available purchase.

"I'll have to see what the so-called repeal bill entails, but if it is a bill that simply repeals, I believe that will add to more uncertainty and potential for Ohioans to pay even higher premiums, higher deductibles, so we'll have to see," he told reporters. "Obviously we would look for a [Congressional Budget Office] analysis of that to see not just premiums and deductibles, but coverage, so I'll take a look at it, but I'm concerned about something that would simply repeal and its impact on costs and choices and health care."

When the CBO analyzed the bill in 2015 , it determined as many as 32 million fewer people would be covered through Medicaid in a decade than as were insured that way under Obamacare.

Sen. Bill Cassidy of Louisiana, a physician who has been on the fence over the previous Senate plans, also told reporters he feared the "uncertainty" that would come with repealing the Affordable Care Act but delaying a replacement for two years.

And on Sunday, Cassidy told Fox News' Chris Wallace a pure repeal would be a "nonstarter."

"There will be uncertainty in the insurance markets. Premiums will rise for middle-class families," he said . "I think it betrays President Trump's campaign pledges."

Sen. Lisa Murkowski of Alaska has yet to say one way or the other if she would support McConnell's new plan, but she has previously said that she does not support passing a repeal without also passing a replacement.

"With a new administration & new Congress we have an opportunity to fix failures of #Obamacare, but a repeal and replace need to coincide," she tweeted in January.

And Sen. John McCain of Arizona, currently recovering from surgery to remove a blood clot, said on Monday that he supports a bipartisan process to fix the existing law.