Pete Hegseth’s bid to lead the Pentagon is stuck in limbo, as he fiercely battles allegations of drinking and sexual misconduct and can’t be sure if President-elect Donald Trump really has his back.

A top Trump transition source had described Wednesday as “absolutely critical” for the former Fox News anchor’s confirmation hopes. And Hegseth threw himself into his task, meeting Republican senators, offering to quit alcohol if he’s confirmed, and mounting fiery rearguards on the Megyn Kelly radio show and in a Wall Street Journal op-ed.

Yet his position seems as tenuous Thursday morning as it was 24 hours earlier.

Does Trump really want Hegseth?

But Sen. Josh Hawley summed up the doubts surrounding the Hegseth pick when he said he didn’t know if the selection should be withdrawn. The Missouri Republican said he’d support whomever Trump wanted in his Cabinet but added: “It’s not 100% clear who he wants as secretary of defense right now.”

Hegseth, an Iraq and Afghanistan war veteran, can afford to lose no more than three Republican senators and still be confirmed in the Senate, assuming all Democrats vote against. So, his window was narrow to begin with. And it’s hardly being helped by uncertainty over how much political capital Trump is willing to spend to see him confirmed.

But Sen. Markwayne Mullin said he’d spoken to both Trump and Hegseth and that the president-elect was still committed to his pick.

“They are still both all in the fight,” the Oklahoma Republican told CNN’s Kaitlan Collins on “The Source.”

“President Trump personally told me he wants to see Pete get confirmed and I think there’s a … path to get there. It may be a little narrow, but I believe we can get him confirmed,” he added.

The reticence of some senators to throw full public support behind Hegseth may be a hint that while they would prefer not to break with the president-elect early, they might also be keen to avoid a hearing that could turn into a public circus around the time of the inauguration.

One of Hegseth’s meetings on Wednesday was with West Virginia Sen. Shelley Moore Capito, who said she’d gotten into his “personal issues” and that their chat went well. But she said she has not yet decided whether she will vote to confirm him.

Growing talk about Ernst and DeSantis as possible replacements may also be bad news for Hegseth, because it’s likely that some senators will view the Iowa senator and Florida governor as potentially superior defense secretaries. A number of Republican senators have told reporters they hold Ernst in high regard. And she and DeSantis would have a far clearer path to confirmation than Hegseth. Still, it’s not clear whether Ernst would fit Trump’s bill for an ultra-loyalist who’d do whatever he wants at the Pentagon or whether the president-elect would be willing to elevate a former primary rival with whom he traded sharp words.

Connecticut Democratic Sen. Richard Blumenthal might not be a disinterested observer, but he suggested on Wednesday that the Hegseth nomination was already doomed. “I’ve talked to 5 to 10 Republicans who have said to me they’re just waiting for the right moment to say no to Pete Hegseth,” Blumenthal, who sits on the Armed Services Committee, told reporters.

Hegseth vows to quit drinking if he’s confirmed

Among the issues clouding Hegseth’s candidacy is a sexual assault allegation from 2017 — which he has denied, claiming the encounter was consensual, and in which no charges were filed.

The question of Hegseth’s alcohol use, which could be a concern given the grave responsibilities of the secretary of defense, was underscored by reporting from The New Yorker over the weekend about his tenure leading veterans’ advocacy groups. Other reports have also emerged about Hegseth’s conduct while employed at Fox News.

On Kelly’s radio show, he addressed reports of excessive drinking, complained that many of the allegations were made anonymously and suggested that some people in the Pentagon didn’t want him to get the job. “I’ve never had a drinking problem. I don’t - no one’s ever approached me and said, ‘Oh, you should really look at getting help,’” Hegseth told Kelly. He said that, like other service personnel who came home from wars, he had had some beers. “You know, how do you deal with the demons you’ve seen on the battlefield? Sometimes it’s with a bottle.” But he said that his wife Jennifer and embracing Christianity had saved his life and that he was now changed. Moreover, Hegseth said that he would treat serving as the secretary of defense like being sent to a war zone where alcohol was not allowed. “This is the biggest deployment of my life, and there won’t be a drop of alcohol on my lips while I’m doing it.”

Hegseth’s vow of temperance was welcomed by North Dakota Sen. Kevin Cramer, one of several Republican senators who have said that Trump’s pick would have to answer questions about allegations against him. “The drinking thing is a pretty significant issue – whether you have a problem or don’t have a problem, or you think you have a problem, or you think you don’t have a problem,” Cramer said. “And he said, ‘My commitment is to not touch alcohol while I’d have this position.’” Given that undertaking, Cramer said that he would be ready to give him the benefit of the doubt and put Hegseth before the Armed Services Committee and signaled he may be ready to eventually support his confirmation.

Hegseth’s chances hinge on winning over more senators like Cramer, which may require lowering the heat around his candidacy. Any fresh allegations against him might begin to throw his prospects even more into question. And while he says he has Trump’s support now, there’s no guarantee that he can retain it if he becomes even more of a distraction from the president-elect’s efforts to fill out his government.

Ironically, any new revelations about some of Trump’s other provocative choices — like Tulsi Gabbard for director of national intelligence or Robert F. Kennedy Jr. for the Health and Human Services Department – could help Hegseth return to the shadows and might help his aspirations. Gabbard and Kennedy have so far largely avoided the scrutiny that’s confronted Hegseth and Trump’s short-lived first pick for attorney general, former Florida Rep. Matt Gaetz.

The president-elect is notoriously prone to change his mind about candidates — one reason why talk of his interest in DeSantis for the defense job should be taken with appropriate caution.

Still, sources told CNN that the Florida governor and former US military lawyer would be interested in the position if asked. On the face of it, DeSantis would be a popular choice among Republicans, and he has the experience of running a massive government in Florida that could help prepare him for the task of leading the Pentagon bureaucracy. DeSantis also has the kind of culture war credentials that Trump wants for the Pentagon; he built his political brand partly on attacking diversity and inclusion programs, for example.

Swapping Florida for the Pentagon in Virginia could make smart political sense for DeSantis, as it would give him vital national security experience that could lift any future presidential campaign. If he were chosen, it would set up a fascinating triumvirate of at least three potential future primary foes — along with Vice President-elect JD Vance and secretary of state pick Marco Rubio — in Trump’s administration.

Still, DeSantis was scathing about Trump during their primary duel and was especially acerbic about the president-elect’s refusal to take part in the Republican debates. He suggested that Trump had “lost the zip” on his “fastball” and said that he’d be a far more effective implementor of MAGA policies. Unlike Rubio, who has had eight years to leaven his campaign trail critiques of Trump with praise, DeSantis’ insults may be far fresher in the president-elect’s mind.