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In a statement, the club's chief executive Neil Joy said there would be no announcement for the time being regarding the 26-year-old's future.
Despite increasing pressure from members of the public to withdraw its offer to Evans, the League One side has not indicated what it plans to do.
Speaking at Boundary Park, Mr Joy said: ``Oldham Athletic is not at this stage making any official announcement with regard to the speculation concerning Ched Evans.
``Whilst acknowledging the considerable media attention, we continue to have conversations with representative bodies such as the PFA and will conduct due diligence with regard to any decision we make on this matter.
``Although it has been reported that a press conference would be held, we will officially advise if and when any such event will take place.
``The club would also request that its stakeholders' and partners' position and privacy be respected until this matter has been concluded. We will not be making any further comment for the time being.''
Surrounded by the media, Mr Joy refused to answer any questions.
Evans was released from prison in October, still protesting his innocence, after serving half of a five-year sentence for the rape of a 19-year-old woman in a hotel.
Last month the Latics said they would not be offering the ex-Wales striker a contract or the opportunity to train with them.
But the apparent U-turn has sparked outrage among some Oldham fans and the news of Evans' possible return to football led to the growing online petition and some sponsors threatening to cut their ties with the club if the move goes ahead.