There are several types of jasmine which vary in their degree of cold hardiness. Some are hardy in your zone 7b location while others are not. Go to the following web site which will allow you to search for Monrovia plants by name, and type in "jasmine". You'll get a listing of varieties which you can select from for more info such as cold hardiness.
If your species of jasmine is slightly less than hardy enough for your are you can mulch the plant deeply over winter and cover it with a blanket on freezing nights to provide a little extra protection.
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