Just when the aftermath of striker Luis Suarez's eight-match ban for racially abusing Manchester United defender Patrice Evra was dying down, the Merseysiders have found themselves having to deal with another issue.
Towards the end of Friday night's FA Cup third-round tie, which Liverpool won 5-1 after falling behind, the 20-year-old Adeyemi - on loan from Norwich - appeared to take offence to something shouted from the Kop.
Despite reassurance from his team-mates, Dirk Kuyt and Liverpool captain Steven Gerrard, the right-back was visibly upset and seemed close to tears.
There then appeared to be discussion between the fourth official and a police officer down by the tunnel while the match was continuing.
Liverpool confirmed an incident took place and said investigations were continuing.
"An incident occurred in the second half of the match which is now being investigated by both the club and the police," said a statement.
"We will continue to work with the police to establish the details of what actually happened and will make a further statement in due course."
Oldham manager Paul Dickov said he had not spoken to the player about the incident, but accepted something had upset him.
"From my point of view I have not spoken to Tom about it but I know the kid and something has been said," he said.
The Scot continued: "He is a placid boy, a kid who has been well-educated with a fantastic temperament and has been with us since the end of August and I've never seen him raise his voice.
"For him to react like that it is obvious something has been said but what has been said I don't know because I've not had a chance [to ask] - I was too busy praising my players.
"He is fine now. He has calmed down. He is a laid-back kid who just gets on with business.
"Our players went and calmed him down and the Liverpool players did as well, which was fantastic and is why they are top professionals.
"I have been told the police are investigating it but that is all I know."
