I am a nursing student with 5 weeks to go until graduation. I just finished my senior practicum in the ICU, during which I had a septic patient with severe septic shock. This patient was on levo and vaso, and my preceptor and I were trying to wean the vaso first per the MD order. As we decreased the vaso which was originally running at 0.04 units/hr, we found that the patient's pressures would not tolerate the decrease, so we titrated the levo up to compensate, which was minimally effective. After fussing around for quite some time, we put the patient back on the 0.04 units/hr of vaso and returned the levo to its original rate.
Anyway... I found an interesting article titled about the topic of pressors and septic shock. I would definately recommend it as it is worth the read and explains how each of these pressors works to manage hypovolemia secondary to septic shock.
Anyway, based on this article, I would wean the vasopressin first.
http://ccn.aacnjournals.org/cgi/content/full/26/6/17
-Andy