It's fairly obvious, I'd have thought, that Walker is not "done". If it was, he wouldn't have gone to the Far East with Spurs and played in their match in Hong Kong. Nor would he be figuring prominently in Spurs' social media output, as he currently is.
Far more likely is that City have an agreement with the player and his agent but that there is still a lot of haggling to work through with Spurs. And that means Daniel Levy. And that, in turn, means a long, drawn out and difficult negotiation - Levy's signature strategy being to spend an age reaching an agreement before, with contracts drawn up and ready to be signed, going back to the other side with a higher or lower figure (depending on whether he is selling or buying).