Preparation of Ingredients: Begin by preparing your ingredients. Chop the broccoli into bite-sized pieces, dice the onion finely, and cube the Velveeta cheese. This preparation ensures that your cooking process is smooth and efficient.

Cooking the Base: Melt butter in a large saucepan over medium heat. Add diced onions and cook until they are tender and translucent. This step is crucial as it lays the foundation of flavor for your soup.

Creating the Roux: Stir in flour and cook for 1 minute, stirring constantly. This mixture, known as a roux, will thicken your soup and give it a wonderful texture.

Adding Liquids: Gradually add milk, stirring continuously. Keep stirring until the mixture thickens. This step is important to avoid any lumps in your soup.

Cooking the Broccoli: Add the chopped broccoli to the saucepan. Cook until the broccoli is tender but still offers a slight crunch. The cooking time may vary depending on the size of your broccoli pieces.

Adding Velveeta Cheese: Reduce the heat to low and add the cubed Velveeta cheese. Stir until the cheese is completely melted and the soup achieves a creamy consistency.

Seasoning: Season your soup with salt and pepper to taste. Remember, Velveeta already contains salt, so add sparingly.

Final Touches: Give your soup a final stir, ensuring all the ingredients are well combined and the soup has a smooth, creamy texture.