Adding routes for Pool members

Hi All,

I need to configure VS in LTM environment with four new pool members which are on 10.12.12.0/24 subnet. At present, I cannot see any route matching for that subnet in the route list in F5. Flow of current set up can be shown below

F5 --->trunking vlan 10,11,12--->Layer 2 switch---->Layer3switch, SVI v10 10.14.10.1---->Cloud--->Pool members

I can see via traceroute command Pool members are reachable from F5, but the route is going via mgmt-ip. So do I need to create a static route in F5, so when F5 will try to communicate the pool member it wont go via its mgmt IP.