Senate Republicans, after decrying President Donald Trump’s recently announced tariffs on imported steel and aluminum, have no plans to pursue legislation to block them from going into effect.

“The thought that the president would undo action he’s taken strikes me as remote at best and I’d like to use floor time in the Senate for things that actually have a chance to become law,” Senate Majority Leader Mitch McConnell told reporters Tuesday. “I think it’s highly unlikely we’ll be dealing with that in a legislative way.”

Senators are now anticipating oversight hearings on the decision, and plan to work with the White House to try to exempt certain countries from the tariffs and narrow their application. Legal experts and Republican leaders say such an approach could do little to curb the importation of steel and aluminum products from “bad actor” countries such as China.

And as companies scramble to understand the impact of the announcement and fears grow that other countries will pursue retaliatory tariffs, an increasingly chaotic environment at the White House — including Tuesday’s firing of Secretary of State Rex Tillerson — could stymie the implementation of the duties and exacerbate the existing uncertainty in the global trade market.

The episode has also stoked fear among some in the GOP conference that Trump, who moved forward with the tariff announcement amid intense pushback from Republicans, will approach the negotiations on the North American Free Trade Agreement in the same manner and ignore any input from Congress.