Sen. Lamar Alexander Andrew (Lamar) Lamar AlexanderMcConnell locks down key GOP votes in Supreme Court fight Alexander backs vote on Trump Supreme Court nominee: What Democrats 'would do if the shoe were on the other foot' Toobin: McConnell engaging in 'greatest act of hypocrisy in American political history' with Ginsburg replacement vote MORE says President Trump Donald John TrumpBiden leads Trump by 36 points nationally among Latinos: poll Trump dismisses climate change role in fires, says Newsom needs to manage forest better Jimmy Kimmel hits Trump for rallies while hosting Emmy Awards MORE is “willing to consider” the deal he struck with Senate Democrats to stabilize ObamaCare.

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“I talked to the president last night for the fourth time in 10 days on the subject and he encouraged me as he has from the beginning proceed with this — that he’s perfectly willing to consider it. He doesn’t want insurance companies to be bailed out, in his words, neither do we,” the Tennessee Republican said.

Alexander predicted some version of the legislation “is likely to become law in some form before the end of the year, because almost every House Republican has voted for it this year.“

"We are going to offer our agreement. We will have a significant number of Republican and Democratic cosponsors,” he said.

The deal, which Alexander negotiated with Sen. Patty Murray (D-Wash.), would revive ObamaCare payments to insurers for two years and give states more flexibility on the law's regulations.

Trump has sent mixed signals about whether he supports the deal. He initially praised it, but the White House later said he opposes the bill unless it is changed.

"In order for the White House to support similar legislation, it must provide immediate benefits to American families, workers, and small businesses," a White House official said.

Alexander said that during Wednesday night's call with the president — his second that day — he told Trump, "All I’m asking you to do is to consider our proposal and strengthen it, improve it — I think you want to pass it before the end of year.“

“He wanted to continue to encourage me, that he would consider it, and that members of the administration would make suggestions to us about how to improve it," Alexander said of the president.

"Really this is the beginning of the legislation process — you don’t pass something in one day," he added.

Asked if the president will ultimately support the bill, Alexander said, “we’ll see — it’s hard to predict."

"The legislative process means that someone has to come up with a solution; we’ve got one. It’s up to the president, the rest of the Senate and the House to take it, to change it, improve it and to pass it.“