Republican Jim Jordan waived the third ballot for House Speaker and agreed to let incumbent Patrick McHenry fill the post.
If such a solution is confirmed, the work of Congress will be unblocked, and McHenry will lead the House of Representatives until the end of 2023.
Such a scenario works so that they could also support the Democrats in the House of Representatives.
Jordan twice failed to secure the 217 votes he needed to be elected Speaker of the House of Representatives.
His election was not supported by at least twenty Republicans and all 212 members of the House of Representatives from the ranks of Democrats.
Before Jordan, even his party colleague Steve Scalise failed to win the majority for the election to that position.
The House of Representatives has been without a Speaker for the last 16 days.
Republicans, who hold a 221-212 majority in the House of Representatives, have failed to overcome the divisions that prevent them from electing a speaker after Kevin McCarthy's ouster in early October.
In the current blockade - the House of Representatives is unable to express its opinion on legislative proposals without a chairman - which contributes to the urgency of the election in the circumstances of the conflict between Israel and Islamist extremists Hamas, as well as the adoption of the Government Financing Law ahead of the expiration of temporary measures on November 17.
Citizens have little faith in Congress' ability to overcome the partisan bickering and Republican infighting that led to McCarthy's ouster on October 3.
About 64 percent of respondents in a survey conducted by Reuters and Ipsos last week indicated that they do not believe that politicians in Washington can put aside their differences for the good of the nation.
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