Can a hardware load-balancer route SSL traffic with SNI?

We've got a webserver farm currently hosting 2 applications - both applications are running on all servers. We want to split this so we have a dedicated server farm for each app (we have good reasons for this).

We'd hoped to have a single load-balancer in front of all of the servers, which would route traffic to the correct farm based on hostname, but we want to maintain SSL to the webservers.

It seems the routers we're being offered don't do this. I appreciate that without SNI this is impossible, but we expect SNI indicators on virtually all of our traffic.

Now I'm a programmer, not a network guy, but when a new SSL connection request comes in, can't the router examine the SNI header, and route to the correct farm. I'm assuming the incoming SSL connection is identified by {source IP:source port}, so couldn't it remember this for subsequent incoming packets (if SNI is only present in the first packet)?

As far as I can tell Haproxy does this, but it seems like hardware load balancers don't. Is there any reason for this, or is this something we should push for?

(For the last guard using IE on XP who don't include SNI, we'd want to send traffic to the old farm, and we'd manage proxying to the new farm when necessary).