Preheat oven to 425 degrees F (220 degrees C).
Unroll one pie crust and press it into the bottom and up the sides of a 9-inch pie plate.
In a medium mixing bowl, combine the shredded chicken, condensed soup, frozen vegetables, milk, salt, and pepper until well incorporated.
Pour the chicken mixture into the prepared bottom pie crust.
Unroll the second pie crust and place it over the filling.
Trim excess crust, fold the edges under, and crimp with a fork to seal.
Cut 4 small slits in the top crust to allow steam to escape during baking.
Bake in the preheated oven for 30 to 40 minutes, or until the crust is golden brown and the filling is bubbling.
Remove from the oven and let stand for 5 to 10 minutes before slicing and serving.