Keep the smoker temperature in the 250-275 degree range. When you’re ready to smoke the turkey breast remove it from the brine and pat dry with paper towels. Now that the turkey is seasoned with the turkey rub mixture, it's time for the smoker. Setup your smoker to smoke at 275 degrees. Prep. Sprinkle some of the bbq rub you used in the brine all over the turkey breast. Use the dry rub within the turkey's cavity while using the wet rub to coat the outside of the bird. Facebook Pinterest Print Email Ingredients . Smoking a Turkey Breast. Estimated smoking time is 30-45 minutes per pound, depending on smoker type, size of turkey and number of times the smoker is opened to check internal temperature or to baste. 10 mins. We suggest using both a wet and dry rub. 1 Turkey. Smoked Turkey Rub . When smoking a whole turkey, season your brined bird with a mix of spices and herbs. https://www.southernliving.com/recipes/smoked-turkey-rub-herbs Serves. Maple or Mesquite wood are both great options for smoked turkey breasts.