Essendon would consider mounting a further legal challenge should the Federal Court's decision not go its way, says chairman Paul Little.

However the interests of supporters, the club and football in general would also need to be taken into account, as would the financial burden of seeking to climb the Australian court hierarchy.

Little was speaking on Friday morning - two days after the conclusion of the court hearing to determine whether the Australian Sports Anti-Doping Authority acted beyond its powers in conducting a joint investigation with the AFL into the Bombers' sports science program in 2012.

"One on hand I'm obliged to and keen to continue fighting this," Little told radio SEN.

But he conceded that the club's steadfast belief in its case could not be the sole consideration.

"On the other hand I'm mindful that the greater football public are starting to get tired of this whole issue," he said.

The next step for Essendon theoretically would be to take the case to the Full Court of the Federal Court - which is the appellate court of the Federal Court. From there the Bombers would have to seek leave to have their case heard at the High Court in Canberra.

ASADA's lawyer Tom Howe QC told the court on Wednesday that even if its investigation was deemed to have been invalid, it could re-issue show-cause notices to the 34 current and former Essendon players under investigation "within 24 hours".

Little reiterated that the welfare of the players was foremost amongst Essendon' priorities.

"We are dealing with the lives and health of individuals here."

"The number one issues was to protect them. We've struggled to protect them."

While reiterating his belief that the players were not injected with an illegal or harmful substance, he empathised with the families of players involved.

"You don't know what you don't know.

"I'm a father. I know how the parents have been thinking.

"I have to say that I think the parents understand that what we've been doing is the maximum we can be doing."

He also called on ASADA to disclose more information surrounding their grounds for issuing show-cause notices in June.

"If ASADA is sitting on evidence then surely for sake of health and welfare of players they should be tabling it now."

"It's a very frustrating time for us.

"On this one, we're a passenger."

Little suggested that Stephen Dank - the man in charge of the club's supplements program in 2012 - come forward and provide clarity to the situation.

"Stephen Dank has greater knowledge (on this) than anyone else."