International Olympic Committee vice president Craig Reedie of Britain and former IOC medical director Patrick Schamasch are also in the running to succeed Australian John Fahey, who is stepping down after six years in November.
The IOC executive board will choose one candidate for WADA president on Aug. 9.
Moses is currently chairman of the U.S. Anti-Doping Agency and was elected the first chairman of the Laureus World Sports Academy. He was an elite runner in track and field, winning 122 straight races from 1977 to 1987.
Watch Moses, who many believe to be the greatest 400 meter-hurdler of all time, in the Olympic Men’s 400-Meter Hurdles Final in 1984.
