This rain chance will be short-lived. A weak ridge in the jet stream will bring us mild and mainly dry conditions for most of next workweek (second map).
In fact, this ridge strengthens into the second week of February (third map). This could possibly equate to a prolonged period of dry and warm weather. If the ridge migrates farther north, we might be able to get a storm system to sneak in underneath. Regardless, I don't see much rain in our long term forecast.
