In a medium skillet, heat the EVOO, 1 turn of the pan, over medium heat. Add the turkey and cook until light brown, about 2 minutes. Add the chopped carrot and cook for 5 minutes. Add the peas and lower the heat to low. Stir in the bread cubes and remove from the heat.
In a small skillet, melt the butter over medium heat. Whisk in the flour, then add 1 cup turkey stock and cook, whisking constantly, until the gravy thickens, about 3 minutes. Remove from the heat.
Soften the stuffing with the remaining 1 cup stock. Place in a bowl for your pup and let cool for about 5 minutes. Top with the gravy and let cool for another minute before serving.