F5 Multi domain services and sub services

Hi

I have two VIPS and A.com and b.com are having ssl termination at F5 level and using wildcard cert

1.      I have a web site VIP that listens to a.com

2.      I have a web site VIP that listens to b.com/b1service

3.      I want to expose to the user as a.com/b1service

So that the micro service can be exposed via A even though it is not in the same server.

I plan to use stream profile so that b.com is never exposed to end users and I rules to forward traffic based on b1service to B VIP . Can this be implemented this way. Is there a better way.