Make sure you get your RDA of essential fatty acids on this one or you'll get sicker. You can get the capsules at a health food store. Other than that, eat the widest variety of foods the diet allows and you should be OK.
Whether or not it will give you anything more than the placebo effect is moot, but even the placebo effect will help you feel better, so go for it.
I hope it does help you but I'll put more faith in drugs at this point.