Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellFEC flags McConnell campaign over suspected accounting errors Poll: 59 percent think president elected in November should name next Supreme Court justice Mark Kelly: Arizona Senate race winner should be sworn in 'promptly' MORE (R-Ky.) said on Wednesday that the Senate will not pass legislation reining in President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE's tariff authority, despite frustration within the caucus about the administration's recent trade actions.

"We're not going to be, in the Senate, passing a bill preventing the president from what he can legally do under current law," McConnell told Fox News on Wednesday night.

Pressed about legislation from Sen. Bob Corker Robert (Bob) Phillips CorkerHas Congress captured Russia policy? Tennessee primary battle turns nasty for Republicans Cheney clashes with Trump MORE (R-Tenn.), McConnell added: "We're not going to be passing that in the Senate."

McConnell's comments come as a bipartisan group of senators, led by Corker, introduced legislation that would require Trump to get congressional approval if he wants to implement tariffs under the national security provisions of the trade law, referred to as Section 232.

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Trump sparked backlash among congressional Republicans after the administration announced late last week that they were slapping steep tariffs on steel and aluminum imports from the European Union, Canada and Mexico, ending temporary exemptions for the key trading allies.

Republicans worry that Trump's moves could roil the economy months before a midterm election and overshadow their tax-reform bill passed late last year.

McConnell added during his interview with Fox News that he wasn't "thrilled" about the administration's tariff decisions.

But Republican leadership has shown little interest in picking a fight with Trump over tariffs.

McConnell told SiriusXM earlier Wednesday that he would not support Corker's legislation, adding that it was an "exercise in futility."

His comments on Wednesday come after he told reporters on Tuesday that he would not bring Corker's legislation up as a stand-alone bill but noted that the National Defense Authorization Act (NDAA) would be open for amendment.

McConnell also said late last week at an event in Kentucky that there was "not much" Congress could do legislatively on tariffs.