Preheat the oven to 400°F and lightly grease a 9x9-inch baking dish.
In a large skillet, combine the shredded chicken, frozen mixed vegetables, cream of chicken soup, chicken broth, and dried thyme over medium heat.
Stir in salt and black pepper to taste, then cook the mixture for 5 minutes until it is heated through and begins to bubble.
Pour the filling into the prepared baking dish and spread it into an even layer.
Arrange the refrigerated biscuits on top of the filling, spacing them evenly.
Bake for 20 to 25 minutes until the biscuits are golden brown and the filling is bubbling around the edges.