This is the answer I found to someone else having the same problem we are (below). JP also answered my question by saying the valve is probably clogged with sediment and since I just had work done on my outside water line, that makes complete sense.
Hello,
If water continues to flow into the washer when it is shut off there is probably sediment trapped where the water supply valve seats. Replacing the valve should solve your problem.
JP
July 2005
Hope this helps you!
Hillary
August 2005