most dogs can be broke easily of eating eggs... and I stress most... Its not nice, nor is it pretty but it does work.
Get a needle and syringe. Any farm store will do, just get the smallest diameter needle you can.
Get a jar of habernaro peppers from the grocery store. Inject a couple CC's (if there is room, if not suck out some egg white first) of the juice the peppers are packed in. Then seal the hole with a drop of wax. Do this with a few of them at a time. Then place one immediately out the door. Place the next one closer to the coop and keep doing this till the dog starts to associate the eggs with the chickens.
Not only will it break him of being an egg suck dog, but he'll also stear clear of the hens nest areas. Gotta be careful here with large breed dogs that are prone to twisting in their gut tho.
Don't be surprised if it only takes 1 or 2 eggs to work. Also, may want to keep some fresh milk handy for when you've watched the pooch have enough. Water will make it worse, milk will quench the fire a bit.