Into a large soup pot over medium-high heat, add the chicken-style broth, potatoes, leeks, celery, thyme, bay leaf, salt, and black pepper.
Bring to a boil for 15 minutes, until the potatoes are fork-tender. Remove from heat and discard the bay leaf.
Use an immersion blender or ladle into a high-speed blender, and puree the soup until the consistency is smooth.
Off heat, return the soup to the pot. Gently stir in the creamer, adjust seasoning to taste, and serve hot.