After much procrastination, I finally cleaned out my '84 Westy's water tank.

I've filled it with water and less than a quarter cup amount of
bleach.  I'd like to run the pump for awhile to clean out the hoses.

When I turn on the faucet, the water pump starts up and water
flows.  But I notice that a small dribble of water comes out of the
city water hook-up as long as the pump is running.

That suggests to me that the faucet needs some attention: The city
water valve in the faucet must not be closed completely, so the water
from the tank is cross-feeding to the hook-up.

Does that make sense?  Is that a common failure?  Shall I just
replace the faucet?  Other advice?

GoWesty's out of stock:

http://gowesty.com/ec_view_details.php?id=2429

Looks like Bus Depot has 'em:

http://busdepot.com/details.jsp?partnumber=255070808