In a strategic move to break the deadlock that has gripped the House floor, House Judiciary Chair Jim Jordan is now engaged in crucial negotiations with Representative Chip Roy, a prominent figure among hard-line conservatives. The discussions aim to craft an immigration bill robust enough to satisfy GOP factions that have so far clashed over the issue.

Jordan, a Republican from Ohio, is considering a tactical approach that involves building on existing legislation focused on so-called sanctuary cities, which has already cleared the Judiciary Committee. The proposed strategy includes incorporating elements from a broader bill championed by Roy, the Texas Republican, who has been vocal about his dissatisfaction with the GOP leadership's hesitation to prioritize a stringent immigration and border enforcement vote.

"I think that's just good policy and would be helpful, so we're looking at that," Jordan remarked, indicating a possible path forward through legislative enhancement.

The House was poised to vote on a procedural measure Tuesday afternoon, a step towards reopening the floor after prolonged infighting among Republicans. However, it remains uncertain whether Jordan's proposed solution will appease Roy, who expressed continued reservations as recently as Monday regarding the response to his demands by party leaders.

The internal GOP dialogue reflects a broader struggle to harmonize the diverse perspectives within the party—from hard-liners like Roy who demand a tough stance on border issues, to more moderate members who advocate for elements like an expanded agricultural guestworker program.

House Majority Leader Steve Scalise, also weighing in on Tuesday, acknowledged the ongoing disagreements within the party over the immigration strategy but reaffirmed the commitment to ongoing discussions. "We're not in agreement on the next approach," Scalise stated, underscoring the complexity of achieving consensus.

Meanwhile, Speaker Mike Johnson has managed to quell dissent from another faction within the GOP. Florida Representative Anna Paulina Luna and Missouri's Eric Burlison, who had previously expressed their own concerns, signaled their readiness to move forward following concessions involving the controversial SAVE America Act.

As the Republicans navigate these turbulent waters, the outcome of these negotiations could significantly influence the legislative agenda and party unity in the upcoming sessions.

*Mia McCarthy contributed to this report.*