I think the fight itself will start in episode 1046 on January 8, it's called: "A High-Stakes Battle! Both Wings Take the Field!",
but King starts trying to get Zoro before he is free of the bandages, and that will be in the coming episode this Sunday.
I've been looking back at some of the pictures here, and got stuck on this one for a while. It made me think: What if this isn't Kaido? In Kaido's time, King never dared to go outside unmasked. King's wings only reach his waist, so what if this is the current time, and Yamato somehow convinced King to train Momonosuke? What do you think? Is this a possible scenario?