[exim] Sending from specific source IP address (multiple int…

Hi,

I have two outbound interfaces with different IPs on my machine, eth0
and eth0:0 (alias). When exim sends mail to remote servers, it does so
from the IP of eth0:0, which is not the IP address I want it to send
from. Is there a way to tell exim to open connections from a specific
source IP / interface? The daemon _receiving_ mail is listening only
on localhost...

Regards,
Julius