Senate Majority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellLessons from the 1999 U.S. military intervention in Kosovo Five things to watch as AIPAC conference kicks off Romney helps GOP look for new path on climate change MORE (R-Ky.) is warning his colleagues to not block the chamber from taking up a bill to repeal and replace ObamaCare as leadership struggles to shore up support for the legislation. 

"I'm sure members will have other good ideas ... and I hope they will offer them. ... But if the Senate is prevented from even proceeding to the bill, none of us will have an opportunity — not Republicans, not Democrats, not anyone," McConnell said from the Senate floor Wednesday. 

McConnell's comments come as at least 10 GOP senators have publicly voiced opposition to the current version of the healthcare legislation. Leadership had wanted to vote in late June but had to delay the measure because of resistance from both moderates and conservatives. 

ADVERTISEMENT

GOP leaders are expected to unveil an updated bill on Thursday, potentially paving the way for a vote on the legislation next week. A crucial new analysis from the Congressional Budget Office is expected to be released on Monday.

McConnell will need at least 50 of the 52 GOP senators to vote to allow the bill to be bought up, assuming Vice President Pence casts the tiebreaking vote, but could face an uphill battle in winning over enough support.

Sen. Rand PaulRandal (Rand) Howard PaulHillicon Valley: Mueller delivers report, ending investigation | FEMA exposed info of 2.3M disaster survivors | Facebook asks judge to toss DC privacy lawsuit | Trump picks his first CTO | FCC settles lawsuit over net neutrality records Transparency advocate says government agencies face 'use it or lose it' spending Republicans need solutions on environment too MORE (R-Ky.) told reporters during a conference call Wednesday that he was still opposed to the Senate's legislation and thought it was moving in the wrong direction.

"Doesn’t sound much like repeal to me. One might even argue it’s worse than ObamaCare-lite because it actually creates a giant superfund to bail out the insurance companies — something even the Democrats feared to do," he wrote in a Breitbart News op-ed

Sen. Susan CollinsSusan Margaret CollinsSenate GOP poised to go 'nuclear' on Trump picks Overnight Health Care: CDC pushes for expanding HIV testing, treatment | Dem group launches ads attacking Trump on Medicare, Medicaid cuts | Hospitals, insurers spar over surprise bills | O'Rourke under pressure from left on Medicare for all Dem group launches ads attacking Trump's 'hypocrisy on Medicare and Medicaid cuts' MORE (R-Maine) told reporters before a closed-door conference lunch on Tuesday where senators were updated on the bill that she needed a "complete overhaul" to support the legislation. 

Sen. Lisa MurkowskiLisa Ann MurkowskiRed dresses displayed around American Indian museum to memorialize missing, murdered native women Juan Williams: Don't rule out impeaching Trump The 25 Republicans who defied Trump on emergency declaration MORE (R-Alaska), another key holdout, said after the lunch that there were no changes made that address her concerns.

If McConnell gets the votes to proceed on the Senate's legislation, lawmakers will still have 20 hours of debate on the bill in addition to a freewheeling "vote-a-rama"—a marathon session where any senator can introduce an amendment vote. 

McConnell added on Wednesday that senators, including Democrats, will have a chance for a "robust debate and a robust amendment process." 

"I hope they'll offer more than just a Band-Aid. I hope they'll offer more than just a $32 trillion dollar re-up of a failed idea. But whatever they'd like to propose, I hope they'll take the chance to open debate and advance the legislation process for every senator, for every American," he said.