It is understood the deal is worth a guaranteed £40million to the relegated Cherries, potentially rising by a further £1million.
Netherlands international Ake has been a standout performer at the Vitality Stadium since joining from Chelsea for around £20million in 2017.
He had previously been on loan with Eddie Howe’s side.
Pep Guardiola is set for a busy summer with Napoli defender Kalidou Koulibaly another option being strongly considered.
A deal for Valencia winger Ferran Torres is also set to completed as City look to close the gap on champions Liverpool in the Premier League.
Register for free to continue reading
Registration is a free and easy way to support our truly independent journalism
By registering, you will also enjoy limited access to Premium articles, exclusive newsletters, commenting, and virtual events with our leading journalists
Already have an account? sign in
Join our new commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies