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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 McConnellPortman: Republicans are 'absolutely' committed to bipartisan infrastructure bill Graham calls voting rights bill 'biggest power grab' in history The wild card that might save Democrats in the midterms 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 AlexanderAuthorities link ex-Tennessee governor to killing of Jimmy Hoffa associate The Republicans' deep dive into nativism Senate GOP faces retirement brain drain MORE (R-Tenn.) and Patty MurrayPatricia (Patty) Lynn MurrayPublic option fades with little outcry from progressives Senate GOP blocks bill to combat gender pay gap OVERNIGHT ENERGY: Biden suspends Arctic oil leases issued under Trump |  Experts warn US needs to better prepare for hurricane season | Progressives set sights on Civilian Climate Corps 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.