Ledley is out of contract next June and his agent, David Baldwin, has previously told BBC Sport Wales that the 27-cap Wales star will see out his current deal rather the re-sign with the Bluebirds.
Independent F1 teams such as Brawn GP have supported the measures, with current championship leader Jenson Button telling BBC Sport he backed Mosley's budget cap.
Ministers at the Department for Culture, Media and Sport were understood to be lobbying the Treasury to amend the policy, by raising the cap or better targeting obvious cases of abuse.