Fox News personality Kimberly Guilfoyle says she's in talks with the Trump administration to replace Sean Spicer as White House press secretary.

Guilfoyle, a co-host on "The Five," told The Mercury News that her potentially taking a job in the White House press shop has been "raised by a number of people" within the administration.

"I'm a patriot, and it would be an honor to serve the country," Guilfoyle said in the Monday interview. "I think it'd be a fascinating job, it's a challenging job, and you need someone really determined and focused, a great communicator in there with deep knowledge to be able to handle that position."

Guilfoyle, a former prosecutor, was formerly married to California Lt. Gov. Gavin Newsom. The two separated in 2005, not long into his tenure as mayor of San Francisco, when she moved to New York to pursue a TV career.

Since he began the job, Spicer has been under near-constant fire from members of the media with whom he works each day, beginning with the weekend after President Donald Trump's inauguration when he insisted, contrary to evidence, that Trump's swearing-in featured a crowd of historic size. More recently, Trump – in explaining the decision to fire FBI Director James Comey – himself undermined the official line coming out of Spicer's press shop.

Trump is said to have been displeased with Spicer's performance in the past, and speculation that the press secretary's days are numbered has been a constant undercurrent of the palace intrigue surrounding the Trump administration.

On Friday, The New York Times reported that Trump's frustration with Spicer had piqued anew, and that the president has been openly musing about replacing him as press secretary. Trump, the Times said, also has mentioned Guilfoyle as a possibility for the position.

Guilfoyle was among those reportedly under consideration for the job before Spicer got it last year. Ahead of her comments to The Mercury News, she said last week on "The Five" that "there is room for improvement" with the way the White House communications team handles roll-outs of major announcements.

"If you want to be successful and do communications with President Trump, you have to be someone that he actually wants to spend a little bit of time with," she said, without mentioning she was under consideration for the job. "You've got to insist on being able to get in front of POTUS, talk to him, and have like five, six minutes with him before you go out there and you take the podium. Otherwise, you're driving blind."

"It has to be [somebody] who has a very close relationship, where there's trust there, there's inherent loyalty, somebody that he knows that's been with him from the beginning, etc. … I think that's very important," she continued.

Guilfoyle told The Mercury News on Monday she believes she fits that bill.

"I think I have a very good relationship with the president," Guilfoyle said. "I think I enjoy a very straightforward and authentic, very genuine relationship, one that's built on trust and integrity, and I think that's imperative for success in that position."

She also said it was critical to be "on message" and "very well-prepared … making sure that everybody's on the same page."

As for Spicer, Guilfoyle said she wishes him well.

"Sean Spicer is a very nice man and a patriot; he's dedicated himself to this public service," she said. "Very tough position he's in – I wish him the best, and I know he puts a lot of effort into it."

In response to the reports of Guilfoyle's potential career move, a Fox News spokesperson said in a statement that "Kimberly is a valued member of the Fox News prime-time lineup, and is under a long-term contract with the network."