
The scientific review will be initiated next year, Wada said yesterday.
Cannabis is currently prohibited in competition and will continue to be in 2022, it added.
Richardson tested positive for a chemical found in cannabis during the US Olympic Track and Field trials in June, which wiped out her trial results.
She was also hit with a one-month suspension.
The 21-year-old, who had been seen as a top contender in the 100m, has said she used cannabis to help cope with the death of her mother.
The suspension sparked an outpouring of sympathy and calls for a review of anti-doping rules, including by the US Anti-Doping Agency.