Sen. Richard BurrRichard Mauze BurrDemocratic incumbents bolster fundraising advantage in key Senate races McConnell gets GOP wake-up call Senate approves short-term debt ceiling increase MORE (R-N.C.) said Thursday that Republicans might not be able to pass an alternative to ObamaCare until 2017. 

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Burr, along with Sen. Orrin HatchOrrin Grant HatchLobbying world Congress, stop holding 'Dreamers' hostage Drug prices are declining amid inflation fears MORE (R-Utah) and Rep. Fred Upton (R-Mich.) unveiled a GOP replacement plan for ObamaCare on Wednesday. But, appearing the next evening on Fox News's "Special Report with Bret Baier," Burr said no single idea is likely to generate consensus.

"I don't think so," he said. "I think that there are going to be a lot of ideas not only in Congress but around the think tanks here in Washington and around the country."

He also pointed to the case of King v. Burwell, which the Supreme Court will hear next month. The high court could strike down subsidies to people buying insurance on ObamaCare's federally run exchanges, raising pressure for a response from Congress.

"But I do say this, we're going to know a lot more after the Supreme Court hears the King v. Burwell case, and that's going to be a short-term interim response," Burr said. "The long-term is, how do we revamp this in 2017 and after so it works for America's patients?"

Burr's plan would repeal ObamaCare and replace it with tax credits to help people buy insurance, while scrapping the law's mandates and protecting people with pre-existing conditions who have been continuously insured.  

House Majority Leader Kevin McCarthy (R-Calif.) announced last week that a different group of Republican lawmakers will also be developing an alternative. 

That group includes Reps. Paul RyanPaul Davis RyanJuan Williams: Pelosi shows her power Cheney takes shot at Trump: 'I like Republican presidents who win re-election' Cheney allies flock to her defense against Trump challenge MORE (Wis.), John Kline (Minn.), and Upton. It will also create a "contingency plan" if the Supreme Court strikes down subsidies in King v. Burwell.