Does not stop filling so washer overflows - Kenmore 22422 Top Load Washer

check the drain hose. Is it in the drain below the fill line of the washer?
In other words -- the drain line should be above the level of the washer lid top and in the line about 4-6 inches

I would try contacting a plumber.

The water input on washers is controlled by the timer which actuates the solenoid valves for both hot and cold water, telling them when to fill and when to close. I would run the machine thru a fill cycle with the washer back off, and with a voltmeter, observe if the voltage ever cuts off as the timer runs. I Another variable is the water level control. So also determine if that is working since if it failed to open the 'fill' circuit at the proper volume, you might have this overflow problem.

inside the washer is a fill valve it has a tube from the bottom of the tub leading to this valve if the tube is blocked with sope the washer over fills clear this tube first also if there are any holes in it it still over fills the washer, the valve works on air presher,,as the washer fills the air presher builds up in the tube and shuts this valve off stoping the flow of water into the washer,,,ok? sorry but me spelling is roten?

This is usually the pressure switch. Also you could check the water inlet valve if water is still flowing in the machine after it stops. There are free videos on testing these components at www.appliancehelponline.com/servicemanual.html
You can also punch in your model # for diagrams

you need to clean the pressure swith hose on the lft side of tub small rubber hose stop use in liqid soap

un plug washer and turn hot and cold water on,if water come's in than you have a bad water inlet valve.if water doe's not come in than you nead to check the line from the water leavel switch to the outer tub.if line is conected on both end's and ther are no hole's in it,than you have a bad water level switch.

the water level sensor is not working and needs to be replaced

you need to replace the inlet valve something is stuck in the valve not allowing it to shut.

check the pressure switch tube connectiong to the tub for a hole or crack first