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McConnell: I'd be happy to bring a health-care bill to the floor if I know Trump will sign it

Senate Majority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellOn The Money: Biden, Senate GOP take step toward infrastructure deal as other plans hit speed bumps Senate GOP to give Biden infrastructure counteroffer next week Masks shed at White House; McConnell: 'Free at last' MORE (R-Ky.) said on Sunday he would be willing to bring a health-care bill to the Senate floor if he had confidence President Trump would sign it into law. 

"I'm not certain yet what the president is looking for here, but I'll be happy to bring a bill to the floor if I know President Trump will sign it," McConnell told CNN's Dana Bash on "State of the Union." 

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"What I'm waiting for is to hear from President Trump what kind of health-care bill he might sign. If there's a need for some kind of interim step here to stabilize the market, we need a bill the president will actually sign," he continued. 

The Senate leader's comments come after Sens. Lamar AlexanderLamar AlexanderThe Republicans' deep dive into nativism Senate GOP faces retirement brain drain The Hill's Morning Report - Presented by the National Shooting Sports Foundation - CDC news on gatherings a step toward normality MORE (R-Tenn.) and Patty MurrayPatricia (Patty) Lynn MurrayBiden's pre-K plan is a bipartisan opportunity to serve the nation's children Schumer 'exploring' passing immigration unilaterally if talks unravel Senate Democrats push Biden over raising refugee cap MORE (D-Wash.) introduced legislation to stabilize ObamaCare markets. 

Trump slammed the bipartisan deal on Wednesday, saying on Twitter that he could not support "bailing out" insurance companies, which he accused of making huge profits from ObamaCare.

However, the president appeared to backtrack on Thursday, saying he could be open to a bipartisan short-term ObamaCare stabilization deal in the upper chamber. 

“We will probably like a very short-term solution until we hit the block grants,” Trump said. “If they can do something like that, I'm open to it.”

Trump has pushed for the Republican-majority Congress to pass ObamaCare repeal and replace legislation. The Senate has so far failed to do so.