Fiat, I do not grow jasmine, but I have a bougainvillea that I bought 2013 summer from Half Moon Bay. Half Moon Bay is about 10 degrees cooler than my area. When I got it home, it promptly dropped the colorful bracts within a week, then in winter got deciduous. I still left it outdoors. During early Spring I gave it a trim. During the rest of Spring all through summer it grew back its leaves and this early Fall, got its first taste of rain and continued growing back all the colorful bracts and is now showing its little blooms.
I am thinking similar thing is happening to your jasmine. It is trying to acclimate and adjust to your area. Constantly moving it will take the adjustment longer. Temps in my area and your area are not that far apart. I would be more worried about your plant if we have a forecast of a deep freeze, temps in the 20-21F range, which happens sometimes in late Fall to early winter..but right now, nothing at all is in our forecasts. So give your plant some time to adjust, leave it alone in one warm and bright spot. If and when we do finally have that deep freeze forecast, then hide your plant indoors by a sunny window, and keep it there all winter if you want. That should protect it.