Just tried this soup with garden fresh tomatoes added chopped asparagus. (platingpixels.com)
Add the broccoli, chopped asparagus pieces (not the 3 - inch pieces), green onions, and cover. (straightupfood.com)
** If chopping asparagus instead of peeling, add them to the pasta water 2 minutes before pasta is done for medium to large stalks, or 1 minute for skinny stalks. (therangersdaughter.com)