Peel the potatoes, onion, celery and carrots and cut into small cubes. Cut the leek into thin rings. Briefly sauté everything in 1 tablespoon of olive oil. Deglaze with vegetable stock and season with salt, pepper and caraway powder, simmer for about 10 minutes.
Wash the mushrooms, cut in half and fry in 1 tablespoon of olive oil.
Puree the soup, refine it with milk, then add the mushrooms. Finally sprinkle with parsley.