I don't see that happening , Zoro will likely assist luffy against kaido round 2 fight in Flower Capital.
Story point of view it wont make sense considering his feats have shown to be superior than king.
I do think they will be busy with stopping onigashima from falling on flower capital. Zoro will likely meet momonusuke, Yamato and Hiyori. Its too late for Zoro vs King now and anything i see it will dehype Sanji, Drake and Marco's moment considering they have been shown leading character in lower dome.