In a medium saucepan, bring the 1/2-cup broth and thyme to a boil over high heat.
Add broccoli.
Return to a boil.
Reduce heat, cover and simmer 5 minutes, or until tender-crisp.
Do not drain.
With a slotted spoon, remove broccoli from saucepan.
Set aside and keep warm.
Meanwhile, in a small bowl, stir together remaining ingredients.
Stir sour cream mixture into cooking liquid remaining in saucepan.
Cook and stir over medium heat until thickened, about 2 minutes.
Do not let it boil.
Cook 1 minute more, stirring constantly.
If sauce is too thick, add more broth, 1 tbsp at a time, until desired consistency is reached.
Return broccoli to saucepan with sauce.
Stir gently until well coated.
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4 servings.