Rep. Jim Jordan, the firebrand conservative from Ohio, appeared closer to becoming the next speaker of the House on Monday after mounting an aggressive pressure campaign over the weekend to gain the support of the 55 Republican holdouts skeptical of his ability to lead the chamber.

If he takes the gavel, it would be a remarkable ascent for the House Judiciary Committee chairman who built his political identity as a founding member of the hard-right Freedom Caucus and an attack dog for President Donald Trump who was once referred to as a “legislative terrorist.” He was a key ally in Trump’s effort to overturn the 2020 presidential election, and defied a subpoena during the congressional investigation into the Jan. 6, 2021, attack on the U.S. Capitol.

But there are still members adamant in their opposition to Jordan, including Rep. Carlos A. Giménez (R-Fla.), who has repeatedly said he only will back former speaker Kevin McCarthy (R-Calif.). Members of the center-right Republican Governance Group estimate that there are as as many as six hard nos against Jordan and potentially even more. Jordan could only lose four votes on the floor.