Bosche dishwasher shu5315uc - water continues to come in even when off

My Bosche shu5315uc dishwasher works fine in every way except for the problem listed below. It started happening all of a sudden.

Water continues to come from the base even when dishwasher is off. It is a slow trickle but fast enough that I hear a hissing sound and it fills up the dishwasher. It stops if I shut off the main water vale under the sink.

Any ideas how to fix this problem? Thanks for your help.

Replace the fill valve.
It is not closing all the way.