The most insane Scotch Egg with Caviar 😍

4 large eggs
1 pound ground sausage
1/2 cup bread crumbs
1/4 cup grated Parmesan cheese
1 teaspoon dried thyme
1/2 teaspoon salt
1/4 teaspoon black pepper
1/4 cup all-purpose flour
1/4 cup milk
1/4 cup vegetable oil
1/4 cup caviar, for serving