Water comes out door when it is supposed to fill ice tray

I have a Jenn Air side by side fridge.  Recently, I had to replace the ice maker.  Installed it a week ago, and everything seemed fine.  Today, it has started discharging water out the water dispenser when the ice maker is going through it's fill cycle.  I get some water in the ice tray, and also water spraying out the water dispenser onto the floor.  HELP! Very similar situation where the water dispenser located on inside left side of frig, drips somewhat slowly (around one-two drops every five seconds), but essentially pours out when the ice-maker fills with water.