Start by gathering all your ingredients and chopping the carrots and celery into small, even dice. This helps them cook uniformly and makes the soup look inviting.
Add the shredded chicken, diced carrots, and celery into the slow cooker. Pour in the chicken broth, ensuring the ingredients are submerged to allow even cooking.
Place the cream cheese chunks on top of the mixture, distributing them evenly. This will melt during cooking, creating that rich, velvety base.
Sprinkle the dried thyme, then cover the slow cooker and cook on low heat for about 4 hours. This slow simmer allows flavors to meld and vegetables to soften beautifully.
After 2 hours, give the soup a gentle stir to help the cream cheese melt evenly and distribute throughout the broth. The kitchen will fill with a warm, savory aroma.
Once the cooking time is up, open the lid and stir the soup well. It should be thick, creamy, and the vegetables tender but not mushy.
Pour in the milk or cream and stir to incorporate. This adds a silky finish and brightens the overall flavor.
Taste the soup and adjust the seasoning with salt and pepper as needed. Remember, the soup should be well-seasoned but balanced.
Ladle the creamy chicken soup into bowls, garnish with chopped parsley or chives if desired, and serve hot for a comforting, cozy meal.