Sure it will. Otherwise it would close a circuit as soon as a page is done being loaded. It keeps an established but inactive circuit open for about ten minutes before discarding it. You can prolong the life of the circuit by trying to open streams through it, even if the streams fail to connect it resets the remaining time to keep the circuit open. I was able to indefinitely keep the circuit to the market open despite never being able to establish an open stream through it, but after manually closing the circuit I wasn't able to establish another one, likely because the introduction nodes are being pwnt.