I am not certain your particular rig has one, but on some rigs, there is a check valve at the city water inlet.  It has a little ceramic ball that seats against a rubber washer under back-pressure conditions.  When back-pressure from the on-board pump is created, the little ball seals the city water inlet preventing water from flowing out onto the street.
If the check valve is stuck open the ceramic ball inside isn't moving right, most often from calcium build-up from hard water.  Removing and soaking the check valve in CLR will usually do the trick.  If you can't remove the valve easily, try soaking the valve in place by injecting CLR in through the inlet.  You rarely need to replace the valve.