Water dispenser leaks on model number KSRS25FGSS13. I HAVE FLUSH THE AIR OUT AND IT STILL HAS A VERY SMALL DRIP

It's not unusual for a refrigerator to drip a little water on the floor after you replace the water filter-air trapped in the water dispenser system can make the water dispenser drip enough to overflow the drip tray below the dispenser. You can fix it by streaming a gallon or two of water through the dispenser to eliminate the trapped air.
If water drips on the floor from the back of the refrigerator, a leaking water inlet valve or cracked water system tubing could be the cause. A clogged or cracked defrost drain tube could also cause the leak. Defrost condensate water collects in the drain pan at the bottom of the refrigerator so a cracked or overflowing drain pan can also cause water to drip on the floor behind the refrigerator. Check the drain pan for cracks and clean out any foreign objects that may be inside the drain pan.
Excessive frost caused by a leaking door seal can also cause the defrost drain pan to overflow. Check the door gaskets and replace them if damaged.

Perhaps some air bubbles were trapped in the water line during the repair. Try running water thru the line for a good amount of time and that may help to relieve the line of any air bubbles.

When water leaks from the dispenser like this it will be caused by a defective water control valve that will not shut properly when off. The leaking water is the same as a leaking faucet. The KSCS25IN uses a=> W10247725-Water Control Valve or HERE
Sea Breeze

Did you just recently change your water filter? you need to flush 3 gallons of water out of it when changing the filter. if there is air in the line it'll drip constantly. If your ice door isnt closing all the way and properly sealing that also could be a source of water dripping. do you have a low of "Snowy" frost inside your freezer door at the ice dispenser shute?

Water valves leak like a leaking faucet sometimes. They just will not close all the way allowing water to bypass the valve and either drip at dispenser or drip and make a mess in freezer. Your model takes a=> 2219592 Water Valve - Dual Outlet

Change the dual water control valve and I believe this will solve this problem, Thanks Sea Breeze

There may be several reasons for this like a leaking water control valve, air in water lines or you may just need to replace the dispenser water line with a kit Part Number 8201537 Try unplugging the dispenser power on rear of refrigerator and tell me if that stops the flow. let me know, Sea Breeze

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There are two possibilities. The water control valve is leaking while off or the water has air bubbles in the supply line. If you just recently changed the water filter and the air has not been completely purged this will cause a drip until the air is out. You can also remove the water line at the control valve and see if it continues to flow. Just us care by unplugging refrigerator first. Be right back with part numbers, Sea Breeze

It is very possible that the water control valve on the rear of your refrigerator needs replaced. It would also be a good idea to install a pre-filter before the water gets to the water control valve. I believe the side of the valve that controls the water dispenser is stuck open slightly allowing water to drip. You can test by disconnecting the wires to the dispenser side and see if the drip stops. When you press dispense water the dual water control valve opens completely on the rear for the water to flow. If the seal inside is defective it will leak. Here are a couple places to finds the Dual Water control Valve

http://servicepartstec.blogspot.com/

http://appliancepartsse.blogspot.com/

Just enter your part number or model number or click on the photo on the second site listed. They are both good suppliers. Let me know if this is helpful or if you need more help Thanks, Sea Breeze

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67005154 or 1071263 Water Control Valve

I would suggest that you get a certified person to come out and look at it you very well could have bent the doors in the move.

but... if you want to do it yourself.
click here for a walkthrough

for your drip:
Flush air from the water system the first time it is used and after replacing the filter. Air trapped in the water line or filter may slowly travel through the coiled water reservoir to the dispenser, pushing any water ahead of it. This can cause the dispenser to drip. Water needs to completely fill the lines for all air to be cleared.

• Use a sturdy container to press and hold the water dispenser bar for 5 seconds, then release it for 5 seconds. Repeat until the water begins to flow. Once the water begins to flow, continue pressing and releasing the dispenser bar (5 seconds on, 5 seconds off) for an additional 2 minutes. Repeat if dripping starts again because air can re-enter from the water supply.
• As air is cleared from the system, water may spurt from the water dispenser.
• Make sure the refrigerator is connected to a cold water supply.

One or two drops of water immediately after dispensing is normal. It may be necessary to hold the container under the dispenser for 2 to 3 seconds after releasing the dispenser lever.