Senate Majority Whip John Cornyn John CornynCalls grow for Biden to expand election map in final sprint Bipartisan praise pours in after Ginsburg's death Chamber of Commerce endorses McSally for reelection MORE (R-Texas) said Sunday that the debate over the Senate's plan to repeal and replace ObamaCare will be “an open process.”

“This is going to be an open process where anybody on the Democratic side or the Republican side can offer an amendment and it will get a vote,” Cornyn said on NBC’s “Meet the Press.”

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Cornyn, a member of GOP leadership, said if the current legislation to repeal and replace ObamaCare does not pass, then lawmakers will “keep trying.”

“But at some point, if Democrats won’t participate in the process, then we’re going to have to come up with a different plan,” he added.

The majority whip also said on Sunday the upper chamber will move forward with the healthcare debate once Sen. John McCain John Sidney McCainMomentum growing among Republicans for Supreme Court vote before Election Day McConnell urges GOP senators to 'keep your powder dry' on Supreme Court vacancy McSally says current Senate should vote on Trump nominee MORE (R-Ariz.) returns to Congress from his surgery.

“I believe as soon as we have a full contingent of senators that we’ll have that vote," Cornyn said. "It’s important we do so.”

Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellMomentum growing among Republicans for Supreme Court vote before Election Day Trump expects to nominate woman to replace Ginsburg next week Video of Lindsey Graham arguing against nominating a Supreme Court justice in an election year goes viral MORE (R-Ky.) late Saturday announced that he will delay consideration of the bill while McCain recovers.

Two GOP senators last week said they will oppose the motion to proceed on revised legislation.