Rankine and club officials met with the AFL's integrity unit on Monday after the star Crow allegedly made a homophobic comment to a Collingwood opponent.
The speculation late on Monday was that Rankine could well know his fate within the next 24 hours.
If found guilty, Rankine could be suspended for ladder-leader Adelaide's looming finals campaign.
The AFL has previously handed suspensions ranging from three to five games to players guilty of homophobic slurs.
The top-placed Crows have one home-and-away game remaining and are assured of hosting two finals.
"It's not ideal but it's obviously in the AFL's hands and we will let them investigate and see what happens," Adelaide captain Jordan Dawson told reporters on Monday.
"We will wait and see but we will leave it up to the AFL to go through what they have to go through."
Rankine was unsighted at Adelaide's West Lakes headquarters on Monday as a club spokesman said the club was in discussions with the AFL's integrity unit.
The AFL confirmed an investigation but didn't name Rankine, despite the 25-year-old known to be the player involved.
"The AFL is aware of an alleged matter, with the AFL integrity unit making enquiries," the league said in a statement.
Collingwood defender Brayden Maynard said Magpie players were "all doing okay, we're fine".
"It's just something that has happened on the football field that ... Â shouldn't have, and we have just got to move on now," he told reporters.
Maynard said homophobic slurs had "happened too often" in the AFL.
"It has happened, what, three or four times now, so we clearly need to stamp it out," he said.
"It's not good to see. And I think we're doing everything we can, both from a women's program and a men's program, to stamp it out."
The AFL, in July, banned West Coast's Jack Graham for four games after he admitted a homophobic slur against a GWS opponent.
Last year, Gold Coast's Wil Powell was suspended for five matches and Port Adelaide's Jeremy Finlayson was banned three games, for homophobic comments to opponents.
Port captain Connor Rozee said supporting Finlayson after his ban was a balancing act.
"Sometimes people make mistakes and you do need to call that out in the moment and make sure that it doesn't go unacknowledged and unnoticed," Rozee told reporters on Monday.
"But at the same time, we did put an arm around him and made sure that he got the education that he needed.
"As a competition and an industry in general, it's a space that we still need to improve on as individuals and as clubs ... we need to make sure it's inclusive for absolutely everyone - players and fans."
Suns coach Damien Hardwick is worried that the penalty has become too big for the offence, despite the AFL making it clear several times it is determined to clamp down on homophobic slurs.
"We can have a player that belts a guy in the jaw and will get maybe five weeks and then we used a term - which once again, I don't condone the behaviour," Hardwick told AFL360.
"But I think we've painted ourselves in a corner with regards to the penalty and length of penalty."
Adelaide leadership group member Darcy Fogarty said AFL players were well educated about homophobia.
"We definitely get enough (education)," Fogarty told reporters.
Fogarty refused to detail whether Adelaide's leaders had met with Rankine.
The Crows, who defeated Collingwood by three points on Saturday night, will enter the finals in top spot if they defeat lowly North Melbourne this weekend.
Adelaide will then host two finals in the club's return to the playoffs for the first time since losing the 2017 grand final.
Rankine is yet to play a final. He spent three seasons with Gold Coast before the Adelaide-born playmaker joined the Crows at the end of the 2022 season.