Forecasters believe it will snow next week in New Jersey. Where, and how much, are both unknown. Forecasters are watching a coastal storm that is expected to impact the New Jersey coastline Tuesday into Wednesday of next week. Temperatures should be cold enough to bring some snow to the Garden State. There’s not even a guess on which part of the state will see the snow, or if it will mix with rain. The good news? A mild weekend is on tap.