Set the Instant Pot to sauté mode and add the olive oil. Once hot, add the ground turkey sausage and cook until browned, breaking it up with a spoon.
Add the onion, carrots, and celery. Cook for 3 minutes until the vegetables start to soften.
Stir in the garlic, oregano, and basil. Cook for 1 minute until fragrant.
Pour in the diced tomatoes and chicken broth. Scrape the bottom of the pot to release any browned bits.
Add the cannellini beans, zucchini, and pasta. Stir to combine.
Secure the lid and set the valve to sealing. Cook on high pressure for 5 minutes.
Allow a natural pressure release for 5 minutes, then quick release any remaining pressure.
Open the lid and stir in the spinach until wilted. Season with salt and black pepper to taste.
Ladle into bowls and top with grated Parmesan cheese before serving.