Heat olive oil in a large skillet over medium heat.
Add chopped onions, carrots, and celery.
Cook until the vegetables are soft, about 5 minutes.
Stir in the minced garlic and cook for another minute until fragrant.
Add ground turkey, breaking it apart with a spoon.
Continue cooking until the turkey is browned.
Pour in the white wine to deglaze the pan.
Scrape up the browned bits at the bottom.
Let the wine reduce by half, which should take about 3 minutes.
Add crushed tomatoes, tomato paste, and dried oregano.
Stir everything together.
Reduce the heat to low and let it simmer for an hour, stirring occasionally.
Pour the milk into the sauce and stir well.
Season with salt and pepper to taste.
Just before serving, mix in the chopped basil and sprinkle with grated Parmesan cheese.