Add the potatoes, kielbasa, onion, carrots, celery, garlic, chicken stock, cream cheese, salt, and pepper to the slow cooker, stir, and cook for 7-8 hours on low or 3-4 hours on high.
In a small bowl whisk together the heavy cream and cornstarch until combined.
In the last hour of cooking, add in the heavy cream and cornstarch mixture and stir and cook for the last hour.
Stir in the shredded cheese and let melt 10 minutes and serve!
Notes
Yukon Golds or Russets break down just enough to help naturally thicken the soup without extra flour.
Dice potatoes evenly. This keeps everything cooking at the same pace, so you don’t end up with mushy pieces and crunchy chunks.