Given how little time he's getting at Leicester, I wouldn't be surprised if Okazaki is Ranieri's first signing in January.
He might also try and tempt Morgan away with a lucrative contract, survival bonus and the captaincy. Morgan is still getting regular football at Leicester, so it might be a non-starter. But at the same time, he's almost 35, has already been sent off twice this season, is one of their highest earners, and they signed a couple of CBs in the summer (including Evans) who they could pick from to partner Maguire. It might suit all parties to for him to join Claudio.
Simpson and Fuchs are two other players from his time at Leicester who Puel has since moved aside. And of course there's Drinkwater getting nowhere near the Chelsea team. Moving from Stamford Bridge to Craven Cottage is hardly a geographical inconvenience.