The Bombers announced their own investigation in February, when they approached the Australian Sports Anti-Doping Authority and the AFL to raise concerns over supplements given to players as part of their fitness program.
ASADA and the federal government is currently undertaking a widespread investigation into possible doping and match fixing in Australian sport, but any public announcements are still some time away.
It could only be a matter of weeks, however, before Essendon reveals its findings.
"The club is going about it the right way, the chairman is leading the way and they're performing on the field," AFL chief executive Andrew Demetriou said in Sydney on Monday.
"If it takes two months, it takes two months. We've already put our measures in place to enhance our policy and to enhance the integrity of the code with some sweeping changes.
"The Essendon Football Club is conducting its own internal investigation about the governance and the processes.
"That report, I'm predicting, will be handed down in the coming weeks.
"So we'll have a guide or an interim guide about what they’ve discovered around their own internal processes, and they've assured us they're going to make that known to the AFL Commission, which means I'm sure that (the findings) will be made public."
NRL side Cronulla has also been embroiled in the controversy, with Sharks coach Shane Flanagan admitting on the weekend the investigation into his club was taking an enormous toll on his players.
That does not appear to be the case at Windy Hill, with the Bombers currently unbeaten and sitting atop the AFL ladder.
Federal Minister for Sport Kate Lundy, who was with Demetriou for an inspection of Greater Western Sydney's new base at Sydney Olympic Park, defended the ASADA investigation, saying it; "has the resources needed to proceed forthwith, and that's underway".
Demetriou is currently in the process of visiting every AFL club, and briefing players and officials about the issue of drugs in sport is a key part of his agenda.
But Demetriou wouldn't be drawn on any possible sanctions the Bombers could face if they were found guilty of any wrongdoings.
"I'm currently visiting every club, players included, to make sure they understand the importance of this issue," he said.
"But we're not dealing with ifs and buts and hypotheticals on sanctions, because until the investigation is complete we're going about our business normally.
"We expect the Essendon Football Club to keep showing up every week and keep playing football unless we're notified otherwise.
"There are a number of players and officials to be interviewed and probably re-interviewed and that takes time.
"There are also issues around particular substances that have to be analysed.
"We could be talking about July, August before any findings (are released)."
James Dampney is a reporter for AFL.com.au. Follow him on Twitter: @AFL_JD
