The Swans have confirmed via their official Twitter account that any deal will be confirmed officially by them.
The FIFCI stated: "Bony has signed with Manchester City this Wednesday, 14 January."
But Swansea City have now made it clear via their own Twitter account that no such deal has been concluded just yet.
Manchester City have been looking for an extra striker this month after a recent injury problem for Sergio Aguero and Edin Dzeko, not to mention the previously lax record of Stevan Jovetic in the injury department, saw them short of striking options.
Indeed, James Milner has spent time playing as their front-line striker in recent weeks. So Bony fell onto the radar, with the BBC reporting that the two clubs agreed a £28m deal for Bony at the weekend, with £25m cash up front and a further £3m in performance-related add-ons.
Bony is currently away with the Ivory Coast as part of the African Cup of Nations build-up, so their confirmation would seemingly be a good endorsement of its completion.
Swansea City have made it clear the deal is not yet done, as confirmed on their official Twitter account with this post: