Meanwhile, heat 3 tbsp oil in a large skillet over medium heat. Add the celery, onions, 1 teaspoon salt, and 1/4 teaspoon pepper. Cook, stirring occasionally, until vegetables are softened and beginning to brown, 10 to 12 minutes. Add the sausage and cook through until thoroughly browned. Add the wine and cook until it evaporates, 2 to 4 minutes.