Cook's Illustrated 2005 Be sure to use low-sodium chicken broth in this recipe; regular chicken broth will make the dish extremely salty. The broccoli is blanched in the same water that is later used to cook the pasta. Remove the broccoli when it is tender at the edges but still crisp at the core-it will continue to cook with residual heat. If you can't find Asiago cheese, Parmesan is an acceptable alternative.