Turnips and other high fiber foods can help reduce the prevalence of diverticulitis flares by absorbing water in the colon and making bowel movements easier. However, doctors do not always recommend a high fiber diet for people with diverticulitis. Talk to a doctor before eating high fiber foods.Turnips also provide potassium, which may help lower blood pressure by releasing sodium from the body and helping arteries dilate.Turnips and other cruciferous vegetables that are high in fiber help make people feel fuller for longer time, and they are low in calories. Eating high fiber meals also helps keep blood sugar levels stable.Turnips are an excellent source of vitamin C, with just one cooked cup knocking out 30 percent of your daily requirement. Upping your intake of this crucial water-soluble vitamin is key to promoting better immune health.