Redirect from one https pool to another https pool

I want it redirected to another pool. But let me explain some more please.

 

 

here is the setup: I have a pool of servers running Linux Apache web server which they act as Proxy servers for all incoming traffic (http or https). The Linux admin does not want to configure SSL/port 443 on the Apache server. So, is there a way I can route https traffic coming from outside through the F5 to another pool of servers that will accept https traffic or do I have to create a new VS using same IP for SSL?