Morabia completed his undergraduate studies at Collège Calvin in Geneva in 1971, majoring in Greek and Latin. After receiving his M.D. from the School of Medicine at the University of Geneva in 1978, Morabia trained in internal medicine at the University Hospital of Geneva and in occupational medicine in Italy. He is board certified in both internal medicine and occupational medicine. In 2009, he was appointed Fellow of the Royal College of Physicians of Edinburgh.