As others have posted, the airside connection is available as long as don't exit the secure area. The connecting walkway is at the north end (beyond the lowest numbered gate) of each concourse. I've walked far end of T8 to far end of T6 in about 8 minutes without running.

I'll close this thread now, but if you still have questions about the connection, let me know and I'll move it to the master thread in the Travel->Los Angeles forum on LAX terminal connections in which this cited post resides:
http://www.flyertalk.com/forum/16880989-post943.html

Ocn Vw 1K, Moderator.