Does AirportExpress work with non-Airport routers?

I have a question for you all but first, I must make an admission. My wireless network at home hangs off of a generic, non-Apple wireless router. Blasphemy! The shame! I promise to administer a self-flogging forthwith.

My question is this: AirportExpress says it will only work with Airport base stations. Is this true or is it merely marketing shinola? Could I use an AirportExpress to extend the range of my non-Apple wireless network?

Thanks in advance!