In a large 12-inch skillet with a lid, combine 2 cups low-sodium chicken stock (or vegetable broth), minced garlic, kosher salt, and black pepper.
Add the 8 ounces of linguine or fettuccine to the skillet, breaking the pasta in half if needed to fit.
Place the skillet over medium-high heat and bring the liquid to a boil, stirring every 30 seconds so the pasta doesn't stick.
When the stock starts boiling, reduce heat to medium-low, add 1 cup milk and 1 tablespoon butter, then simmer, stirring often, for 6–7 minutes or until the pasta is tender.
If the liquid evaporates before the pasta is cooked, add up to an additional 1/4 cup milk a tablespoon at a time as needed to finish cooking.
Remove the skillet from the heat, add the remaining 1 tablespoon butter and let it melt while stirring to incorporate.
Stir in 1/4 to 1/2 cup freshly grated Parmesan cheese and a pinch of grated nutmeg, tossing until the sauce coats the pasta; serve immediately.