Phlebotomy Training Program at Washington Health System WHS will sponsor up to ten individuals to complete the phlebotomy training program. Accepting Applications through September 10th, 2021. whs.org/careers for more details. Phlebotomy Training Program at Washington Health System WHS will sponsor up to ten individuals to complete the phlebotomy training program. Accepting Applications through September 10th, 2021. whs.org/careers for more details.