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 McConnellTSA agents protest government shutdown at Pittsburgh airport The case for Russia sanctions Pompeo planning to meet with Pat Roberts amid 2020 Senate speculation 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 AlexanderAndrew (Lamar) Lamar AlexanderMcConnell blocks House bill to reopen government for second time Senators restart shutdown talks — and quickly hit roadblocks GOP senators propose bill to pay 'excepted' workers during shutdown MORE (R-Tenn.) and Patty MurrayPatricia (Patty) Lynn MurraySen. Murray says Washington behavior reminds her of former preschool students Senate rejects government-wide ban on abortion funding Overnight Health Care: Dem chair plans hearing on Medicare for all | Senate GOP talks drug prices with Trump health chief | PhRMA CEO hopeful Trump reverses course on controversial pricing proposal 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.