Turkey Breast Set smoker to °F. Cook minutes per pound. The average turkey breast is about 6 pounds- this will be about 3 hours. Oct 31, · Use a meat thermometer to check internal temperature. Smoke until turkey registers to degrees F (68 degrees C to 71 degrees C). Wrap turkey breast in heavy-duty aluminum foil, then wrap in several layers of thick towels, and allow to rest for about 45 xxxed.xyzgs: 8.