Combine crab meat and diced celery in a bowl.

In a separate bowl, combine mayonnaise, mustard, and salt.

Mix the mayonnaise mixture with the crab meat and celery until well combined.

Spread the crab mixture between bread slices and American cheese slices to create sandwiches.

Alternate layers of sandwiches and cheese in a greased baking dish.

In a bowl, beat the eggs.

Add milk and Worcestershire sauce to the beaten eggs and mix well.

Pour the egg mixture into the baking dish, ensuring it covers the sandwiches and cheese.

Cover the baking dish with foil.

Bake in a preheated oven at 325°F (163°C) for 45 minutes.