Water overflow when tub is emptying during spin cycle

no spin cycle don't have water it could be the pump is not getting the water out fast enough, could be clogged or the rear drain pipe is blocked or bent. failing them to problems it could be the valve its self.

Here are some solutions.

Hope this helps you...Jim...Please leave a comment...Thanks!
LEAKS ALL THE TIME Is your GE washer leaking all the time, even when not in use? If so the problem is the fill hoses or the valve. Look behind the washer to see if water is coming from the hoses. If not, take the cover off to the control panel. Once off, you should see if the water valve and if there is leakage - it needs replacing (if it is leaking). This is the most popular water valve for GE top-loading washers made after 1995 and the part number is WH13X86 Order Here. . Note that some models have a water valve with more than two coils. In this case, you will need to order the valve by model number at AppliancePartsPros.com Buy Fill Hoses Here.
LEAKS DURING FILL CYCLE Is your GE washer leaking during the fill cycle? If so the problem may be in the valve. Follow instructions above, only this time start the fill cycle before looking at the valve.
If your washer overflows with water during fill cycle your problem is the water level control or the water valve. If you must cut the water off from the house plumbing to stop the water then there is no need for testing, just replace the water valve. First, you need to turn on the washer. The washer should start to fill with water, now cut the washer off and on repeatedly (note to yourself whether the water turned off every time). If it does cut off every time you cut the washer off, then it's most likely in the water level control. If it keeps running after you cut the washer off then, the water valve is bad and needs replacing. (Note that the valve can stick intermittently so it still may be bad if it passed the test) Water valves can be purchased at AppliancePartsPros.com
If the water valve doesn't stick in the first test then you need to check the water level control. First, remove the front of washer (insert butter knife between the top and the front pushing on the clips) then look on the side of the tub and you should see a tube attached to a box. Remove the tube (make sure all the water is out of the tub) look in the tube to see if is stopped up. Often it will stop up near the end. If it is, you can clean it out with a toothpick. Once it's clean, reinstall it and your washer is fixed. If the tube is not stopped up reinstall the tube. Now set the water level control on the lowest setting and start filling the washer with water. If the water stops when the tub is approximately half full (this varies with every model) turn it up to the next level (you may have to reset it). Repeat until the tub is full. If at any the water level gets above the last row of holes in the tub, unplug the washer. If the water stops running when you unplug the washer, replace the water level control. If the water doesn't stop, turn the water off at the wall then replace water valve. Water level contorls and water valves can be purchased at AppliancePartsPros.com . LEAKS DURING WASH Is your GE washer leaking during wash? If so the problem is the tub seal (seals around the transmission where it goes through the tub), drain hoses (including the tub to pump hose) or the pump. First take the front off the washer (insert butter knife between the top and the front, pushing on the clips) then start the fill cycle. Now start watching until you see a leak. If the leak is coming from the tub seal, the transmission needs to be replaced (note that changing the transmission is expensive and takes special tools, so you may consider replacing the washer). If the leak is coming from the drain hose or the pump you need to replace it. If you don't see it leak at all, your soap may be the problem. To check this fill the washer with water and the amount of soap you normally would use. Then start the washer and watch the tube coming from the left back of the tub (the overflow pipe). If soapsuds come out of the overflow pipe then try cutting down on your soap or switch to another brand. This may fix your problem. These parts can be purchased at AppliancePartsPros.com
LEAKS DURING PUMP OUT Is your GE washer leaking during pump out? If so the first thing you should look at is the drainpipe (to your house plumbing). Fill the washer with water, and then turn it to spin and start it. Now while it's pumping, look at your drainpipe if water backs out (it may not back unless you have soap in the tub), then the problem is in your plumbing. If it doesn't, follow the same steps as above in "leaks during wash." Only this time watch for leaks during pump out as well.

SOUNDS LIKE A PLUMBING PROBLEM WITH DRAIN PIPE .YOU COULD FIT NONRETURN VALVE TO DRAIN FROM WASHER BUT THAT WOULD NOT STOP SINK FROM OVER FLOWING

Dont think so , clear drain @ sink you can use soda crystals drain pipe has debris in it...

There may be too much water and not enough clothes in the washer. If that is the case the water rises up the side of the tub when spinning and overflows the inner tub. Usually it goes into the outer tub but it can spurt out through bleach dispenser and run down the inside of the cabinet or hit the lid and splash out. Set water level (Xsmall, small, medium, large, Xlarge) appropriate for amount of clothes.

BOTTOM OF TRIANGULAR PLATE ARE 3 SKID PADS, USUALLY WHITE OR BROKEN HALF MOON SHAPE WHEN WORN OUT RESULTS IN THIS

Unblock the outflow pipe from the machine that goes into the sump under the sink. (have a pot ready for water overflow) This will help drain the water. If the spin cycle is making a screetching sort of noise then it is possible that the carbon brushes will need changing. This affects the spinning if the brushes are worn.

I had the same problem, you need to turn the washing machine on it's side and look for a pin hole leak in the seam of the plastic holding drum on the bottom. I used a silicone sealant, "GOOP" , let it dry for 1 day and problem solved. It has not leaked in two years. good luck!

you may have blockage in the drain pipe several feet from washer. if you can run spin cycle with hose in different location ex. tub,sink or outdoors. if this works run long snake down washer drain pipe to clean gypsum residual.

Check your outlet filter, most likely it is blocked, preventing the water from draining out. Chk your pump too. Before this disconnect from the wall socket; and also check the pipe coming from the tub to the filter. Siphon out the excess water from inside the machine before you open the pipes.