Warm the oil in a Dutch oven or large pot over medium heat. Add the vegetables and cook until softened, 5–8 minutes.
Stir in the crushed tomatoes, tomato paste, cannellini beans, broth, Italian seasoning, salt, and pepper. Increase the heat to high and bring to a boil. Once boiling, reduce the heat and simmer for 10 minutes.
Add the spinach and dairy-free tortellini. Continue simmering until the spinach wilts and the tortellini is tender, about 5 minutes. Serve immediately and enjoy!