Pour 1 cup of the chicken broth, and the contents of the gravy mix packet, into a small bowl. Whisk well to combine.
Combine potatoes, carrot, onion, ham, and remaining chicken broth in a large soup pot; bring to a boil. Cook for 5 minutes, and turn down to a simmer. Whisk in the broth and gravy mixture. Simmer soup for one hour.
