EXCLUSIVE: House GOP critics of how Speaker Mike Johnson, R-La., is handling government funding talks are already beginning to float names of possible challengers, people told Fox News Digital.

Two GOP lawmakers told Fox News Digital that House Majority Whip Tom Emmer, R-Minn.; House Judiciary Committee Chairman Jim Jordan, R-Ohio; and Rep. Byron Donalds, R-Fla., were all mentioned in early talks about alternatives.

One of the two lawmakers said they had not heard from any of the three, adding, "That would be suicidal." 

A person close to Donalds told Fox News Digital in response, "At this time, the Congressman has not made any statements regarding the future of House leadership."

A spokesperson for Emmer told Fox News Digital, "Whip Emmer supports Speaker Johnson and is focused on doing the job he was elected to do."

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Fox News Digital also reached out to Jordan and Johnson's offices for comment.

But discussions about potential rivals to Johnson in the Jan. 3 House-wide speaker vote represent the latest warning shot from Republican lawmakers who are vehemently opposed to the short-term spending bill, known as a continuing resolution (CR).

Congressional leaders released the text of their 1,547-page CR on Tuesday evening after last-minute negotiations delayed its original planned release on Sunday. A source familiar with discussions told Fox News Digital more specifically that the deal was largely struck between the top two Democrats and Republicans in each chamber.

Since then, it has seen fierce pushback from conservatives and House GOP hardliners, many of whom are frustrated at the unrelated policy riders attached to the legislation — rather than a "clean" extension of government funding.

In addition to averting a partial government shutdown through March 14, the bill also includes provisions on health care and ethanol fuel, plus more than $100 billion in disaster aid funding and measures to fund the rebuilding of Baltimore's Francis Scott Key Bridge and the first pay raise for lawmakers since 2009.

Multiple GOP lawmakers signaled Tuesday that Johnson could face a challenge to his leadership over the CR.

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"The speaker definitely has some ‘no’ votes and some people considering their options," a third House Republican granted anonymity to speak candidly told Fox News Digital on Tuesday.

Rep. Ralph Norman, R-S.C., told Fox News Digital when asked if Johnson could see blowback on Jan. 3, "There's always consequences."

When previously asked about any potential speakership challenges, Emmer, Jordan and Donalds have all said they back Johnson.

A source close to Jordan told Fox News Digital that the Ohio Republican is "not interested in challenging Johnson."

But all three ran for House Speaker last year after ex-Speaker Kevin McCarthy, R-Calif., was ousted. Johnson ultimately won after a messy three-week fight.

The Louisiana Republican, who Republicans chose unanimously to be their candidate for speaker last month, is also backed by President-elect Trump, which is likely to keep a significant amount of backlash at bay.

He is also still expected to get a large share of GOP lawmakers to vote for his plan, with most in Congress in agreement that a partial government shutdown over the holidays would have a negative political and economic impact.

But his CR plan is also under attack by members of Trump's orbit — both Elon Musk and Vivek Ramaswamy blasted the bill on Wednesday.

"Any member of the House or Senate who votes for this outrageous spending bill deserves to be voted out in 2 years!" Musk wrote on X.

Johnson himself dismissed concerns about his job as the blowback began to build on Tuesday.

"I'm not worried about the speaker vote," he said. "We're governing. Everybody knows we have difficult circumstances. We're doing the very best we can under those circumstances."

The speaker and his allies have argued that they won the most they could while controlling one half of one third of government, and promised that Republicans would be in a better position to handle federal funding when the CR expires at the beginning of Trump's term.