Glove Me Tender

A man needs a three-part surgery to rid himself of a disease. He is in a remote part of the desert. Luckily there are three doctors who can help. Each doctor does one part of the surgery. The only problem is that there are only 2 pairs of gloves. Each doctor will need a pair for their part of the surgery. The patient can't have blood re-entered into his body from the first or second procedure or else the surgery will be a flop. And the doctors can't touch his blood or they will be infected. Also, they can't wash the gloves. How do they preform the surgery?