ITV bosses want the Vicar Of Dibley actress to join Andrew Lloyd Webber's search for the next musical star as head judge, The Sun reports.
A source said: "Andrew is looking for the cream of British acting and showbiz stars for Superstar and Dawn has caught his eye. She is outspoken, someone who connects with ordinary people and has years and years of experience.
"It's early days but she is interested and they have been very taken with her in the initial conversations."
Producers are still finalising the other judges to complete the panel. Jason Donovan and former Spice Girl Mel C have been serving as guest judges for the initial auditions.
Superstar starts in July for a two-week run. Amanda Holden was recently confirmed as the show's host.
An insider added: "The plan is to make it more like I'm A Celebrity, building up a head of steam at the end of the two weeks."
Simon Cowell has previously hinted that he wanted French to judge one of his shows.