Heat a skillet over medium heat and add the vegetable oil. Whisk in the flour and cook until the flour just starts to turn brown and it's all incorporated.
Slowly whisk in the chicken broth and continue cooking and stirring until smooth.
Add the tomatoes and salt and pepper. Cook until thickened, stirring constantly, about 5 minutes.
Notes
In place of the vegetable oil, you can use bacon fat or shortening.Tomato gravy is great served over buttermilk biscuits, grits or macaroni and cheese.