november white haze leather conditioner havent tried yet.
I'm not entirely sure what you mean by white haze. I will assume though that the leather is losing its shine. It seems a bit quick to be needing leather softener, but depending on where you live (climate) and the quality of the jacket you may already need it. If it looks dried out or you can see cracks in it, then you should definitely apply leather softener.
Also, water does not bode well for unprotected leather. If you are in a rainy/snowy place then you will need waterproofing. Also be sure to wipe off any water before hanging it up if you have been in the rain.