Representative Jim Jordan, the hard-line Republican from Ohio, does not plan to force a third vote on Thursday on his bid to become speaker after running headlong into opposition from a bloc of mainstream G.O.P. holdouts, according to two people familiar with his decision.

Instead, Mr. Jordan will endorse a plan to empower Representative Patrick T. McHenry of North Carolina — the temporary speaker whose role is primarily to hold an election for a speaker — to carry out the chamber’s work through Jan. 3. In the meantime, Mr. Jordan will continue trying to build support to become speaker.

The people spoke on the condition of anonymity in advance of Mr. Jordan’s announcement.

After he failed to win a majority on Tuesday, Mr. Jordan was defeated again on Wednesday when the number of Republicans refusing to back him grew. With little hope of making up the lost ground, Mr. Jordan called for a closed-door meeting of Republicans on Thursday morning to discuss his next steps.