French newspaper L'Equipe reported that Racing 92 five-eighth Carter was notified on Saturday (local time) of his clearance following a probe by the FRF medical commission.
Reigning world player of the year Carter (34) and club teammates Rokocoko (33) and Juan Imhoff tested positive for corticosteroids after providing urine samples following the Top 14 Final in Barcelona on June 25.
Racing 92 beat Toulon 29-21 to secure their first French title in 26 years.
The trio attended an anti-doping hearing in Paris last week and, according to L'Equipe, Carter has been cleared.
Rokocoko and Argentina winger Imhoff are set to be "informed of the same outcome", the newspaper said.
Racing 92 said it had not received any information from the FRF.
Corticosteroids, which can act as an anti-inflammatory, are prohibited unless players have been granted a Therapeutic Use Exemption (TUE).
Racing 92 released a statement earlier this month saying the players were treated for existing conditions in an authorised manner which didn't require a TUE.
"All the medical procedures on the players reported by the media were carried out in total respect of the national and international anti-doping rules."
