Place large oven-proof skillet over medium heat. Add oil.
Add sweet potatoes to skillet being careful not to overcrowd the pan. Cook for about 5 minutes, stirring occasionally, until they begin to brown.
Add onions, celery, and peppers.
Season with salt and pepper. Cook 5 more minutes, stirring occasionally, until just tender.
To add eggs, reduce heat to medium low and create wells in the vegetable mixture. Gently crack an egg into each well and cook to desired doneness. You can cover the skillet with a lid to help cook the eggs all the way through if preferred.
When eggs are cooked, sprinkle with your favourite toppings and enjoy.