I don't have a suitable machine to verify, and I'm a bit rusty, so the following may not be exactly correct, but this should not be difficult at all.
On SYS1, make sure you have bridge-utils installed, then add a bridge between eth0 and eth1. If I remember correctly, you only need to add
to both
/etc/sysconfig/network-scripts/ifcfg-eth0 and
/etc/sysconfig/network-scripts/ifcfg-eth1, and create
/etc/sysconfig/network-scripts/ifcfg-br0 containing
Code:
DEVICE=br0
TYPE=Bridge
ONBOOT=yes
BOOTPROTO=none
STP=yes
and run
service network restart to reload all network settings. The network service will do all the magic with brctl et al. when the network is brought up.
But like I said, I'm unable to check this right now, so the above might not work without modifications. (Specifically, I cannot remember on which layer the bridge should work -- i.e. whether the IP addresses can be on the interfaces, or if they need to be assigned to the bridge instead. And it might need some extra routes using 'via' in the above files.)