It is part of the safeguards in the scheme, The Age newspaper reports, citing state's Acting Health Minister Martin Foley.
"The Alfred is one of Victoria's leading hospitals. Having a single point of access for voluntary assisted dying is just one of the ways we're making sure the model is the safest and most conservative in the world," Mr Foley said.
Pharmacists from The Alfred will travel around the state to dispense the drug and information to patients who request it. The scheme is overseen by the Voluntary Assisted Dying Review Board.
Victoria is the only state in the country to legalise voluntary euthanasia under legislation passed in November. It will come into effect on June 19.