Two separate internet connections - how ?

We've been running our f5 with 1 internet connection for a while now and works great.

The general config is:

self ip 1.1.1.2 (example :) ) -> outside vlan untagged interface 1.1

default gw 1.1.1.1

self ip 10.1.1.1 -> "INSIDE" tagged interface 1.3

bunch of virtual servers connected to the switch sharing the same vlan as interface 1.3

all server's default gw are set to 10.1.1.1

when ping outside world from all those servers the IP is being detected as 1.1.1.2 (which is a self ip of the LB)

awesome!

now comes the interesting part:

we added a switch that has vlan 10, a new internet connection is going from the router into that switch.

what i've tried so far:

created vlan 10 untagged on interface 1.2

added another self ip 10.2.2.2 -> "INSIDE_2" untagged 1.2

on one of the servers added default gw as 10.2.2.2

NOW, when i try to ping the outside world the IP is being detected as 1.1.1.2 !!! which means I'm using the other internet connection ??? and not the second one?

I've tried playing around with routes, like adding 2.2.2.1 as route for inside_2 - didn't work :(

Anyone got any hints for me ?

Thank you!!!