The Herald Sun reported on Tuesday that "at least four" Magpies players contacted the AFL's medical department last season to admit to drug use.
Under the League's Illicit Drugs Policy, the players escape a 'strike' to their name if they self-report the use to an AFL medical officer.
Collingwood president Eddie McGuire addressed the report on radio on Tuesday morning.
"I don't know the situation because as president of the Collingwood Football Club, I'm not informed of any players with drug issues or drug strikes," he said on Triple M on Tuesday.
McGuire said it was an example of the current system needing tweaking, and he urged the AFL to give clubs more power in the process.
"At my football club, the best people involved to look after the Collingwood players are the Collingwood Football Club.
"I agree with what's been going on in the past. Does that mean we want to test players ourselves? No, I think we could leave it the way it is, let the AFL do it.
"Do we want to have more target testing if there is an issue? Then we need to be able to be told about it, to look out for it, and to appraise what's going on within our club.
"At the moment we don't get any of that information so we're shuffling around in the dark."
In November last year Collingwood chief executive Gary Pert raised the issue of drugs as one the football world needed "to deal with."