The former boyband member and American actress would replace current judges Louis Walsh and Nicole Scherzinger, it is believed.
If they make it onto the panel, they would become the first husband-and-wife team to judge on the show.
The pair, who have been married since 2009, are preparing to sign a £10m deal with the ITV show, according to the Daily Mirror.
Field, who previously starred in US soap Days Of Our Lives, is now a regular panellist on daytime chat show Loose Women.
Last month she interviewed Simon Cowell, who created the show in 2003 and has been a full-time judge on the panel since day one.
Field posted a picture on Instagram with the caption: “Hope he puts me through to the next round!”
Walsh, 65, who has appeared in all but one series confirmed he would be leaving the X Factor earlier this week.
He said he would now focus on “another series of Ireland’s Got Talent, going back to my day job as a manager, writing my memoirs and seeing the world”.
Sharon Osbourne will also have a smaller role, with show bosses describing the shake-up as “the start of a new era”.