Start by preheating your oven to 400 degrees Fahrenheit. While the oven is warming up, take the turkey tenderloins out of their packaging and pat them completely dry with paper towels.
In a small bowl, whisk together the olive oil, minced garlic, salt, black pepper, rosemary, thyme, and smoked paprika. Stir until it forms a fragrant paste.
Place the turkey tenderloins in a baking dish or a rimmed sheet pan. Rub the herb and oil mixture all over the meat, ensuring every side is well coated.
Pour the chicken broth into the bottom of the pan around the turkey to keep the environment moist. Place the pan in the center of the oven and roast for 30 to 35 minutes. The turkey is done when the internal temperature reaches 165 degrees Fahrenheit at the thickest part.
Once removed from the oven, transfer the tenderloins to a cutting board and tent them loosely with foil. Let the meat rest for at least 5 to 10 minutes. Slice against the grain and serve warm.