Hi @tnodzak,
Sounds like a faulty water inlet solenoid valve.
Is it cold water or hot water that is dripping into the tub? Turn off the faucets that the washer hoses are connected to, one at a time to find out.
Repairs are relatively easy as long as you get the correct part or parts.
What is the model number of the washer?
With some models the valves come as a complete module unit i.e. both hot and cold valves and with others they are individual valves.
If a valve is faulty, it cannot be repaired. It has to be replaced.