Preheat oven to 400 degrees F.

Cook pasta according to package directions. (Note: Cook al dente, as pasta will continue cooking in the oven). About two minutes before pasta is done, add broccoli. Drain and rinse under cold water to stop cooking process.

In saucepan over medium-high heat, heat oil. Add onion and sauté 3 minutes, stirring occasionally; add garlic and sauté 2 minutes.

In mixing bowl, whisk tapioca and 1/4 cup milk; set aside.

Reduce saucepan heat to low and pour in stock and remaining 1-1/4 cups of milk. Stir in mustard, turmeric, thyme, salt and pepper. Cook until mixture starts to simmer.

Pour in prepared tapioca and milk mixture, mixing thoroughly until sauce is thickened.