Gather all of your ingredients.
Pour a little olive oil into the kettle insert, and add in your garlic.
Add in your onions.
Add in your carrots.
Add in your celery. Now stir everything together.
Add a little olive oil to the Wok insert, and place your cauliflower to the wok.
Once your onions are starting to become translucent add in your thyme.
Add your butter to the kettle and stir to melt.
Season your cauliflower with salt and pepper and be sure to flip over so it doesn't burn.
Once your butter has melted add in your flour and make sure to stir.
Stir everything together and cook for about 5 minutes.
Add in your chicken broth and stir.
Now add in your milk and bring to a simmer.
Once your cauliflower is soft remove from the wok and chop into smaller pieces if necessary.
Once your soup has simmered for about 10 minutes, lower the heat and add in your parmesan cheese. Be sure to stir so the cheese doesn't burn at the bottom.
Once the cheese has melted and blended in add in your cauliflower and stir. Let cook for another 15 mins on low.
Serve and enjoy!