In a small bowl combine cream of chicken soup, milk and dijon mustard.
Prepare stuffing mix as directed on the box.
Layer chicken and ham in the bottom of a 9x13 casserole dish. Top with cream sauce. Sprinkle with fresh thyme.
Cover with sliced Swiss cheese then top with prepared stuffing mix.
Cover with foil and bake 350° for 20 minutes. Remove foil and bake an additional 25 minutes.