Preheat oven to 375F.
In a large oven-safe skillet over medium high heat, add the olive oil.
After 1-2 minutes, add the sausage. Break up the meat with a wooden spatula. Cook until browned and crispy edges.
Add the chopped onions, celery, and sage to sauté for 5-8 minutes, until tender and onions are translucent. Remove from heat.
Pour the milk, broth, maple syrup, and beaten eggs into the skillet. Mix until very well combined.
Bake for 25-30 minutes, until golden and crispy on top. Enjoy warm!