Preheat the oven to 400 degrees.
In a large pan heat your oil on medium-high heat.
Once the oil is hot, saute the onions, carrots, broccoli, cauliflower, and peas until tender, about 5-7 minutes.
Season with salt and pepper to taste.
Transfer cooked vegetables to a bowl with the chicken; set aside.
Reduce the heat to medium and add the butter to the same pot. When melted, stir in the flour and cook, stirring constantly for 1 minute.
Whisk in the milk, chicken broth, cream of chicken soup and thyme. Allow the sauce to come to a simmer and let it simmer for 1 minute to thicken. Season with salt and pepper.
Turn off the heat and transfer the vegetables and chicken to the pot, stirring until the filling is well-combined. If the filling is too thick, stir in some extra chicken broth milk.
Pour the filling into a 9 x 13 inch baking dish and bake for 18 minutes.
Remove the dish from the oven (keeping the oven on and door closed) and top the filling with 8 biscuits (yes, raw biscuits).
Return the baking dish to the oven and bake for an additional 10-12 minutes, until the biscuits are golden brown and the filling is bubbly.
Cool for 5 minutes before serving.