Vegan Minestrone Soup 1 Is minestrone soup vegan? It can be, with the right ingredients! This vegan minestrone soup is heavy on the green vegetables (it has peas, zucchini and kale, to name a few!), setting this quick healthy soup recipe apart from the rest. If you miss the tomatoes, feel free to add them to the mix. Last but not least, enjoy the crispy garlic croutons that float on top and soak up the flavorful broth.