Combine artichokes though salad dressing in a medium mixing bowl.
Roll out pie crusts onto a lightly floured surface. Cut each crust into fourths.
Spoon artichoke mixture into the center of 4 slices. Top with a matching size slice of pie dough. Crimp edges with a fork to seal.
Transfer turnovers to a parchment lined baking sheet. Bake for 12 minutes. Pie crust will not change too much in appearance. They might be lightly browned.