Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellOcasio-Cortez to voters: Tell McConnell 'he is playing with fire' with Ginsburg's seat McConnell locks down key GOP votes in Supreme Court fight Video shows NYC subway station renamed after Ruth Bader Ginsburg MORE (R-Ky.) indicated Tuesday that the Senate won't try to use legislation to halt 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's steel and aluminum tariffs, noting it’s improbable the president would sign such a bill.

"I like to use floor time in the Senate for things that actually have a chance to become law. ... I think it's highly unlikely we would be dealing with that in a legislative way," McConnell said.

Trump announced late last week that he would slap steep tariffs on imported steel and aluminum despite days of public pleas and frantic behind-the-scenes work from congressional Republicans for him to back down.

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GOP Sen. Jeff Flake Jeffrey (Jeff) Lane FlakeJeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Republican former Michigan governor says he's voting for Biden Maybe they just don't like cowboys: The president is successful, some just don't like his style MORE (Ariz.) introduced legislation on Monday to nullify the tariffs. But any bill would face an uphill battle given that it would either need Trump's signature or enough support to override a veto.

McConnell added on Tuesday that the chances Trump would support such a bill are "remote at best."

"Well on the trade issue ... the administration pretty much has ball control. The thought that the president would sign a bill that would undo actions he's taken strikes me as remote," he said.

Republicans are widely opposed to the tariffs. But McConnell, his leadership team and House Speaker Paul Ryan Paul Davis RyanKenosha will be a good bellwether in 2020 At indoor rally, Pence says election runs through Wisconsin Juan Williams: Breaking down the debates MORE (R-Wis.) have signaled they will try to get the administration to narrow the financial penalties instead of halting them.

McConnell added that there is "a lot of concern" within the caucus, and members are continuing to talk to the administration.