This is something that is not a huge problem here – more parasitic stuff like coccidia, e.cuniculi, but as far as “worms” go, my understanding is it is possible to for bunnies to get ring and tapeworm, however it has not been something that has been a huge worry for the the shelters. I know in other countries though, they do go through the deworming process and that may be because bunnies are outside more often.
I was able to find a similar question that was asked on allexperts.com (answered by Dana Krempels)
http://en.allexperts.com/q/Rabbits-703/Rabbit-deworming.htm
I think that if you take in a rescue who lived outside and exercised alot outside where other wild rabbits and raccoons roamed, then you could talk to your vet about the best thing to do.
Here, one of the most common contagious parasites that can spread through shelters is coccidia. You’ll notice it via large icky messy poos that don’t clear up within a few days of a bunny adjusting to the shelters new diet. It’s easily treated, but it can be easily spread in a shelter setting.
I know at SaveABunny, even when they are vacuuming out cages, the nozzle is disinfected between cages. You also have to be careful with litterscoops. It might be a good idea to have several scoops that you can rotate. That way you can have one sitting in disinfectant, one in a rinse bucket full of water, and the third to scoop, so you can just rotate them all.