Williams had previously admitted that she still had to decide her future on the morning magazine show ahead of its move North next year. The Mirror claims that Susanna Reid is now being lined up to replace the 46-year-old as the main female host.
"She'd jump at the chance," a source said. "Susanna loves the BBC and this is her dream job."
However, the paper suggests that WIlliams could help smooth the programme's transition by commuting north for a period of time.
Her agent said: "This is not about going to Salford, but about a decade of getting up before the dawn chorus.
"We've been talking to the BBC for the past six to nine months about potential new roles where she doesn't need to use her alarm clock quite so frequently."
Staff have until the end of the month to decide their future on the programme and will allegedly mark the deadline with a 'Salford or f**k it' party on Thursday.
Meanwhile, Williams's co-host Bill Turnbull has reportedly decided to remain part of the team despite his concerns about the move, while it is claimed that sports reporter Chris Hollins has told friends that he will quit in order to remain in London.
> BBC readies first live Salford broadcast