The International Olympic Committee made the proposal at a high-level summit, with the measures due to be considered at a WADA meeting next month.
IOC brass called for "a new anti-doping testing authority within the framework of WADA to be established."
It further said it wanted "to make anti-doping testing independent from sports organisations."
WADA will remain in control of regulatory and compliance in the anti-doping fight but the new testing body will have responsibility for testing athletes, the statement said.
The new body will also have "intelligence and investigation" capabilities, the IOC added.