Cover the Dutch oven with its lid and transfer it to the preheated oven. Braise for 2.5 to 3 hours, or until the chuck roast is very tender and easily shreds with a fork. If your roast is larger or thicker, it may need up to 3.5 hours.
Carefully remove the Dutch oven from the oven and take off the lid. Use two forks to shred the chuck roast directly in the pot, stirring it into the creamy sauce. Taste the sauce and adjust seasoning with a pinch more salt and pepper if needed.