Cook fettuccine according to the package directions; drain. Meanwhile, bring a pot of salted water to a boil and cook broccoli stalk (cut into florets, stalk peeled and sliced), 3 minutes; drain. Heat skim milk and butter in a large saucepan over low heat. Slowly whisk in flour. Simmer until slightly thickened, whisking constantly, 1 to 2 minutes. Remove from heat and stir in Parmesan and kosher salt. Add the pasta and broccoli and stir over low heat until heated through. Top each serving with Parmesan shavings.
The sauce is pretty thin/runny even though I added another tbsp of flour. It still tasted good though