It's after Lydia joined mentor on the show Will.i.am alongside his BEP bandmates apl.de.ap and Taboo at a performance earlier this week.
Lydia sung with the Black Eyed Peas at the Royal Albert Hall in a free gig, just as Will had promised in April's live final.
Now The Sun newspaper reports that talks are under way for Lydia to replace Fergie more permanently, lined up to go on an upcoming tour.
A source told the tabloid: “A deal is being worked out currently for Lydia to join the band to replace Fergie.
“It is a trial for her to begin with, but everyone involved is confident that her position will become permanent and tours are being planned with her involved."
They added: “It’s a massive step for her, and she is delighted.”
Apparently, Lydia has confirmed she is in talks with the group but could not say any more.
UPDATE A spokesperson for Will has told the Metro newspaper that "this is not true".
Speaking about working with Will earlier this year, Lydia enthused about her time with the 'the Willy Wonka of music'.
"Will is a bit like Willy Wonka. He takes all these ideas and muddles them and it always seems to work," she said.
And Lydia added: "Will says some people are like artists who can only trace over other people's work but I am more like a graffiti artist - I make everything my own."