I tell customers 90-120 days. But it can vary a lot. I'm sort of surprised they haven't given you some kind of timeline. If you ordered before we placed orders at the beginning of the month, then the order should be accepted by Infiniti for December production and January delivery. Only catch to that is I'm not sure all orders placed this month got accepted.
The other way to shortcut the system is for them to find an in-bounds car that's on a ship or already in production but slated for another dealer. Then trade for that car for a similar inbound car. Sort of like doing a dealer trade on an in-stock car. If you haggled them down to a nothing deal, they won't have much motivation to go out of their way for you. But if not, they should have some motivation.
I know that's not much of an answer, but hopefully it sheds some light on the situation.