Heat olive oil in a large, deep-sided pot or very large skillet over medium heat.
Add chopped carrots, celery, onion, and minced garlic. Saute over medium-high heat for 5-7 minutes.
Add raw chicken, salt, and pepper and cook for 5 minutes, stirring occasionally (chicken will still be a bit pink in the middle; it will finish cooking next)
Add soup, milk, broth, parsley, thyme and dry pasta. Stir well and bring to a boil.
Reduce heat to low and simmer uncovered for 25 minutes until pasta is tender. Stir every 2-3 minutes to prevent pasta from sticking to the bottom. Low heat is important. If you notice it needs more liquid to get the pasta past the al dentate stage, add a bit of water or more chicken broth.
Remove from heat, stir in 1 cup cheese, and let set for 5 minutes.
Top with remaining ½ cup cheese and serve.
Enjoy!