Loss of session state with Force SSL?

We have just enabled a version of our site in a QA environment using the F5 Force SSL capabilities.

 

In doing so, we are seeing a variety of issues that seem to be related to lost session management, perhaps.

 

If we have more than one web server (IIS) in the pool, we have all sorts of issues. With a single web server in the pool, we are good to go.

 

Curious if anyone else has seen this one.