She has been out promoting the book for four weeks now in addition to hosting her show, and had to sit out Thursday night's program due to a cold

Kelly has also reportedly been nicknamed 'Me-again' by some at Fox News due to her constant press

The battle to sign Megyn Kelly continues to heat up, with a new report claiming that both NBC and ABC have joined CNN in pursuing the Fox News host, whose contract with the network is up in July.

The 46-year-old is 'currently in talks with NBC' an industry executive tells Vanity Fair, while ABC 'renewed, and perhaps sweetened, its effort to woo Kelly' in the past month according to a person familiar with the discussions.

And Kelly seems to be making things a bit easier for the networks too according to a person with knowledge of her discussions, who said that money 'may now be less of an issue' for the host of The Kelly File.

That revelation comes a little less than two weeks after it was reported that CNN President Jeff Zucker was 'moving the Himalayan mountains to get [Kelly]' on the network but could not match the $20million-a-year salary that Fox News already had on the table.

Meanwhile, Kelly's non-stop press appearances to promote her new memoir Settle For More over the past four weeks have reportedly earned her a new nickname at Fox News - 'Me-again.'

The non-stop interviews, appearances and book signings on top of her daily hosting duties also seem to have left Kelly a bit under the weather, as she was forced to skip her show on Thursday.

'I'm off tonight b/c I am sick (my voice is gone/cough) but I'll be back on Monday assuming I can speak!' wrote Kelly to a concerned fan on Twitter Thursday night.

She also included that fan's message, which stated that he had now stopped watching Kelly's Fox News co-worker Bill O'Reilly's program in favor of her show.

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Chnage of scenery: Megyn Kelly (above in May) has reportedly been in talks with both ABC and NBC about the possibility of moving to a new network

Hard work: She has been out promoting the book for four weeks now in addition to hosting her show, and had to sit out Thursday night's program due to a cold (Twitter message above)

ABC was one of the first networks to go after Kelly, with president Ben Sherwood reportedly approaching her back in October.

She was also reportedly shown a 'recruitment presentation' by ABC at some point that ran through some of the legends who have worked at the network, ending with a photo of herself.

None of those who reported on Kelly's talks with ABC were able to reveal however where she might be placed should she sign with the network.

When asked to comment about Kelly's possible future with ABC, a representative for the network said: 'As much as we appreciate and admire Megyn Kelly’s talents, this is simply not true. There has never been an offer of any job.'

Little is known meanwhile of Kelly's reported dealings with NBC, and when she began these talks with the network. A spokesperson for NBC declined to comment.

Kelly's personal publicist, Leslee Dart of 42West, did however comment on the Vanity Fair story by saying: 'Peo ple can parse language any way they want.The fact of the matter is that fortunately Megyn Kelly has been presented with more opportunities than ever before.

'She is incredibly grateful and is taking the time she needs to make this important decision for her family and her career.'

Zucker on the other hand has also been after Kelly for some time, but could not match the money that the Murdochs were offering Kelly to stay at Fox News.

Drudge reported earlier this month that Zucker is hoping to have Kelly anchor a show in the 8pm or 9pm hour on the network, which would mean Anderson Cooper's two-hour block of AC360 which currently airs at both those times would be cut in half.

It is unclear what Kelly would get out of the move however, as in addition to a lower salary CNN continues to lag well behind Fox News in the ratings.

Zucker and Kelly are already well acquainted, having been spotted together this past July when the Fox News star and her contributor pal Dana Perino stopped by the CNN Grill while in Philadelphia for the Democratic National Convention.

Kelly spent the night chatting with Cooper and Zucker while also posting a photo of herself and Perino posing with CNN anchor Don Lemon, who invited her to the party.

That photo of a smiling Kelly partying with her peers was taken just hours after The New York Times reported that her co-hosts at the convention, Bret Baier and Brit Hume, were refusing to speak with her off camera over the exit of Ailes one week prior.

Kelly's contract with Fox News is up in July, and the network has reportedly already offered her over $20million to stay (Kelly above in 2011 while hosting America's Choice on Fox News)

Fox News insiders who spoke with Drudge said that Kelly is 'despised' the other on-air talent at the network, which if true could mean that going to CNN for less money would not be that big of an issue for Kelly.

She would be getting a 'fresh break' after a tempestuous 18 months where she was attacked by everyone from President-elect Donald Trump to her former boss Roger Ailes said one insider.

What's more, she could finally go head-to-head with Bill O'Reilly, who is referred to as her 'arch-nemesis' in the story.

That is not a guarantee however, as even if she does leave Fox News to join CNN there is still a chance that O'Reilly could be leaving the network around the same time as his contract is also coming to an end.

There have been reports circulating for months as well claiming that there is little chance that both O'Reilly and Kelly would resign their contracts, though neither of the two has said anything to confirm that claim.

The uncertain relationship between the pair made headlines however just last month after comments O'Reilly made about Kelly during an appearance on CBS This Morning.

O'Reilly was asked during his appearance on the morning news show if Kelly might appear on his Fox News program to promote her book, to which he replied: 'I don't know. We'll see if she's going to be on the show or not. I want to be that candid. I'm not that interested in this.'

That is when anchor Norah O'Donnell, a longtime friend of O'Reilly's, cut in and asked: 'You're not interested in sexual harassment?'

A clearly annoyed and angry O'Reilly replied to this by saying: 'I'm not interested in basically litigating something that is finished that makes my network look bad. Okay?

'I'm not interested in making my network look bad at all. That doesn't interest me one bit.'

O'Reilly's seemed to be referencing the chapter in Kelly's book where she details Ailes' sexual harassment of her and her decision to cooperate with the company's investigation into its CEO this past July.

Co-workers: It is unclear what Kelly (above in 2014 with Bill O'Reilly) would get out of the move to CNN, as the network is offering less money and lags well behind Fox News in the ratings

Claim: There have been numerous reports claiming some at Fox News have been angry with Kelly (left) ever since the ousting of Roger Ailes (left)

The preternaturally cool and collected Kelly responded to O'Reilly's comments the very next day, during her own appearance on CBS This Morning.

'Well I will say this, I am very proud of the fact that I discussed this with Rupert and Lachlan Murdoch before I wrote this chapter in my book, and we were all on the same page,' she said.

'And it was an important chapter to include and I am proud of them that they feel as I do, that sunlight is the best disinfectant.'

When she was then asked about O'Reilly's claim that she was making Fox News look bad, Kelly replied: 'I believe that Roger Ailes made the company look bad.'

O'Reilly and Kelly currently have the top-rated programs on Fox News, which has been the most watched basic-cable network for 21 of the past 22 weeks.

Kelly has been with Fox News since 2004, first as a corespondent and then slowly working her way up to hosting her own show in 2010, America Live.