Cut the broccoli into florets and place to one side. Cut any remaining stalk into small cubes (similar size to the potato chunks).
Heat the olive oil a large pan, over a medium heat, then add the onion, garlic, potato and cubes of broccoli stalk. Mix well, place the lid on the pan and sweat over a low heat, stirring occasionally so the veg doesn't catch on the bottom too much.
Remove the lid, add the broccoli florets and vegetable stock, mix well, then replace the lid. Bring to the boil then turn down to a simmer and cook for 10-15 minutes, until the veg is just cooked through.
Remove from the heat, add the milk and crumble in the Stilton. Season with salt and pepper to taste, mix well then blend with a stick blender (or in a blender jug) before serving hot.
To make in the slow cooker:
To make this soup in the slow cooker, add everything (except the Stilton and milk) to the slow cooker pan and cook on high for 2-3 hours or low for 4-5 hours. Add the milk and stilton, stir and blend before serving.
Notes
Step-by-Step Photos: Check out the blog post above for step-by-step photos of this method and my top tips for making this soup recipe.
Storing and Freezing: Any leftovers of this soup can be kept in the fridge for up to 3 days, or frozen. I find it best to do this in portions so you can microwave what you need at-a-time.
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