Position an oven rack in the center and preheat the oven to 350°F.

Arrange the bread in a single layer on a parchment-lined baking sheet. Spread 2 tablespoons of the Russian dressing on each of 4 bread slices. For each sandwich, layer 2 slices of the cheese on top of the dressing, then layer 3 slices of the turkey on top of the cheese. Transfer the baking sheet to the oven and cook until the bread is slightly toasted, the turkey is warmed, and the cheese is completely melted, about 6 minutes.

Remove from the oven and carefully transfer the sandwiches and the toast to a work surface. Divide the slaw evenly among the turkey-topped slices, and then top with the remaining toast. Serve immediately.