Good morning Desert,
I have battled low blood counts - both red and white for years. I never seem to get the red count in the normal range, no matter how much iron I take. The white count bounces around and it's anyone's guess what the reading will be whenever I have labs drawn. I've had a hematologist/oncologist tell me that low white counts can go along with Sjogrens, but that you want to watch it closely. If you develop any new symptoms such as any painless swelling, night sweats, unexplained fever or weight loss, or a deep, constant itching, these can be signs of other things. I don't know of anything that you can do to get the white count back up. For me, it's very erratic and unpredictable. I can usually tell when it's in the normal range, as I feel a whole lot better.
Take care. Julie