Preheat oven to 350 degrees.Spread chicken in the bottom of a 2-quart greased casserole dish.

In a medium bowl, mix together condensed chicken soup and milk. Pour over chicken.

Place chicken broth, onion, and celery in a medium saucepan. Bring to a simmer. Simmer for 2 to 3 minutes.

Stir the stuffing and melted butter into the chicken broth mixture.

Let cool slightly and then stir in the eggs. Season to taste with pepper.

Spread dressing on top of casserole. Bake at 350 degrees for 30 minutes.