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 linguine or fettuccine to the skillet, breaking the noodles in half to fit if needed, and place over medium-high heat.
Bring the liquid to a boil, stirring the pasta every 30 seconds so it doesn’t stick.
When the stock boils, reduce heat to medium-low and stir in 1 cup milk and 1 tablespoon butter.
Simmer on medium-low, 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 1 tablespoon at a time as needed.
Remove the skillet from the heat, add the remaining 1 tablespoon butter and let it melt while stirring to incorporate.
Stir in the grated Parmesan and a pinch of nutmeg, tossing until the pasta is evenly coated and the sauce is creamy; serve immediately.