The club is believed to have told parents at a meeting last Monday it expected some positive news in the short-term.
AFL.com.au understands Essendon has also invited players who were on the club's list last year but are no longer at the club.
The Bombers received criticism last week for former players' parents not being invited to the initial meeting.
The meeting follows news players will have the option of being represented by a top lawyer in their looming interviews with the Australian Sports Anti-Doping Authority.
The AFL Players' Association has engaged lawyers David Grace QC and Richard Redman to offer advice for the Bombers if required.
The pair, as well as the AFLPA's legal counsel, will also be available to sit in on the interviews as ASADA searches for answers into the club's supplement use last year.
It is believed the group of Bombers who left Essendon at the end of 2012 will be represented mainly by the players union and not their former club.
Interviews with players could start in the next two weeks, and may take more than a month to complete as meetings are planned around the Bombers' training and games.
Redman is a renowned sports lawyer who was previously the senior counsel for ASADA, and Grace is one of the country's leading criminal lawyers.
Players at the club remain confident they were not injected with illegal supplements under the World Anti-Doping Agency's code, and Essendon chairman David Evans has insisted no player has tested positive to any banned substance.
Coach James Hird praised his players for their resilience last week following the club's opening round of NAB Cup action.
"I have been so proud of the players of the Essendon Football Club" Hird said.
"For the last 10 days they have just shown a strength of character that not many people have. They have been resilient, they have been focused on their footy when I would imagine they would have liked to have been focused on themselves.
''We have two things going on at the moment. One is a footy season, one is the other thing (the investigation). We are trying to concentrate on one, when we are doing one and on the other, when we are doing the other."
Follow AFL website reporter Callum Twomey on Twitter at @AFL_CalTwomey.
