[ale] What do I need to bridge two networks?

[Jim Lynch]

I'm working in a lab that has a single wifi connection to the outside.  
I don't have any control over the installed router.  I have a separate 
router that I use to connect come of my systems together but would like 
to be able to bridge the two routers somehow.  I don't have physical 
access to the installed router so I'd have to bridge a wifi to my router 
somehow.  It's difficult to attempt to put my systems (some of them) on 
the installed router.

What's the minimum that that I'd need to make this happen, if it's even 
possible?  The router I have is a Cisco/Linksys of some variety.  I 
forget the model number but it is several years old. It's running the 
stock Cisco software.

Thanks,
Jim.