In a large pot, heat the olive oil over medium heat.
Add the chopped onion and garlic and cook until fragrant, about 2 minutes.
Toss in the carrots, celery, and potatoes. Stir everything around and cook for another 5 minutes.
Pour in the vegetable broth and bring the pot to a boil.
Reduce the heat and let it simmer for 15–20 minutes, or until the potatoes are soft.
Add the almond milk, thyme, parsley, corn, and peas. Stir and let it warm through for another 5 minutes.
Season with salt and pepper to taste, and serve hot with your favorite crusty bread.