Assuming the bill gets passed in the House, it would still require approval by the Senate and to be signed into law by President Donald Trump. Senate GOP leaders have not guaranteed they would hold a vote in their chamber.

But Rep. Ro Khanna (D-Calif.), the co-sponsor of the bill with Rep. Thomas Massie (R-Ky.), told reporters Wednesday he believed “40 to 50" Republicans would join Democrats in supporting the bill in the House.

“If we get that kind of overwhelming vote, that’s going to push the Senate, and it’s going to push for a release of the files from the Justice Department,” Khanna said.

Trump officials are still waging an intense pressure campaign to get at least one of three House Republican women to remove their name from the discharge effort, according to two people granted anonymity to share private conversations. If that push is successful, it would complicate efforts to get the measure on the floor in the first place, as Republicans are more likely to vote in favor of the legislation itself than they are to sign onto a discharge petition seen as an outwardly antagonistic gesture toward leadership.