Yes he will as Jack Russells are easy-going and accommodating once the strangeness wears off.There could develop a pecking order between them, but they should become the best of friends.
Do you think that my 7 year old Jack Russell will get along with my new Australian Shepherd pup? He usually warms up to new dogs very quickly, he is a very friendly dog.
Based from your description and how Jack Russel Terriers are characterized, yes I think your JRT will get along with your new AS puppy. JRTs are not territorial dogs, especially when they have attended socialization classes.