According to The Sun, Mary's replacement will be Prue Leith (above, right), who will join Paul Hollywood as a judge on the new series when it begins later this year.
The 76-year-old restaurateur has already appeared on similar programmes, including alongside Mary on the BBC's Great British Menu.
Leith's name has become connected to the show just this week, but the source said she had been involved in the process to identify a new judge for some time and had simply not been spotted by press photographers when she went to audition.
A source said: "Both are from similar backgrounds, so hopefully viewers will be accepting and give Prue a chance to win them over".
"But the producers are confident that Prue has all the attributes".
A spokeswoman for Channel 4 says: 'We'll be announcing the line-up in due course'.More news: Guilty verdict in Etan Patz missing child case
Speculation has been rife about who will replace Mary Berry on The Great British Bake Off and now it looks like the cat's out of the bag...
You might have seen her on TV before.
Certainly, Leith is also known as the author of some rather racy novels - although the innuendo-prone Mary Berry is not exactly without a glint in her eye either.
And apparently, South African restaurant owner and cookery writer Prue Leith is potentially going to take over the top spot next to Paul Hollywood.
After training at Le Cordon Bleu cookery school in London she worked as a caterer before opening her restaurant Leith's in west London in 1969.
Leith is a former chair of the Children's Food Trust, which campaigns to encourage the nation's children to eat more healthily, and was awarded an OBE in 1989 and a CBE in the 2010 Birthday Honours. In October 2016 Prue married retired designer John Playfair and admitted in a Daily Mail column she "never dreamed I'd fall in love again".