Cook pasta according to package directions. Add broccoli during the last two minutes of cooking. Drain.
In a medium bowl, whisk together the milk, Dijon, Worcestershire and thyme.
Melt the butter in a medium skillet over medium heat. Whisk in the flour and cook for 1 minute. Whisk in the milk mixture, and bring to a boil. Keep whisking until the mixture has thickened a bit. Whisk in the cheese and stir until melted.
Stir the pasta/broccoli and bacon into the sauce. Spoon into dishes and serve immediately.