Preheat oven to 350 degrees. In a large nonstick skillet, cook sausage (and giblets, if using) over medium-high heat, stirring often, until browned and cooked through, 5 to 8 minutes. With a slotted spoon, transfer to a large bowl.
To pan, add onion, celery, and ¼ cup water. Reduce heat to medium; cook, scraping up browned bits with a wooden spoon, until vegetables soften, about 10 minutes. Season generously with salt and pepper. Add to sausage.
Add cornbread, sage, and eggs to sausage and vegetables. Bring broth to a simmer in a small saucepan; pour ½ cup over stuffing, and toss gently (cornbread will break down into smaller pieces). If needed, add up to ½ cup more broth, until stuffing feels moist, but not wet. Stuff into turkey, using about 4 cups. Spoon remaining stuffing into a baking pan; it should reach the top. Refrigerate stuffing in pan and remaining broth separately, covered, until ready to bake.