Bring 10 cups of water to a boil over medium-high heat in a large soup or pasta pot. Once it boils, sprinkle in one tablespoon of salt.

Add the pasta and cook for 8 minutes. Add the peas. Allow the water to return to a boil and cook 1 to 2 more minutes, until the pasta is al dente and the peas are heated.

Turn off the heat. Drain the water from the pot, but reserve ½ cup of the pasta water.

Turn the heat to low. Stir in the sausage, basil, and olive oil. Once the oil is mixed in well, add the ½ cup of warm pasta water and stir. Add the 2 tablespoons of parmesan and remaining ½ teaspoon of salt. Cook for 1 to 2 more minutes, until the sausage is warmed.

Garnish with more parmesan and serve.