Here is an answer from Dr. Julia Halterman, director of the MS biomedicine program:

EMU is high up enough on the anatomical board’s list to receive donors that we’ve never experienced a shortage, even after we doubled our anatomy lab capacity from 2 to 4 cadavers a few years back. However, I don’t know if they have to turn other universities/medical facilities away due to a shortage of donors. The Virginia State Anatomical Program (VSAP) is always looking for more people to donate their bodies, and anyone over the age of 18 can do so by contacting the VSAP. If the individual lives outside of the state of Virginia, their state should, most likely, have a similar anatomical program. Donors can request that their body is sent to a specific facility, but in the end their request will most likely not be fulfilled. There are many factors that lead into where a body is sent – the date of death needs to correspond closely to the date that a university/medical facility has requested delivery of a donor body, and there are other physiological and anatomical parameters that must be met following testing and processing of the bodies at VSAP. I would encourage residents of Virginia interested in donating their bodies to contact VSAP to learn more.