Wash the leek, cut into rings or pieces and sauté together with the cleaned and sliced mushrooms in olive oil in a saucepan. Cut the chicken breast into bite-sized pieces and add to the leek. Fry for approx. 5-8 minutes.
Add the broth and bring to a boil. Reduce heat. Add coconut milk and curry powder and simmer slowly for 5 minutes. Clean and chop the carrots. Add to the soup with the peeled and cut potatoes. Simmer slowly for about 8 minutes, add the rice and simmer for another 8 minutes. Now add the sesame and the soup simmer for another 5 minutes.
Turn off the stove and let the soup rest for 10 minutes. Season with salt and pepper and serve.