<i>Solution 1:</i>
You could try using cookies rather than sessions. Check out the article on cross-domain cookies here on phpbuilder.
http://www.phpbuilder.com/columns/chriskings20001128.php3
<i>Solution 2:</i>
You could put the sessions variables in a string and pass them in the URL to the new site. This however isn't the most secure thing to do if you are storing usernames and passwords in the session.
<i>Solution 3:</i>
If both web servers are using the same database server, you could store all of the info you need in the database instead of in session variables. You could then pass a reference id to the secure site in the URL and not worry about it.