As such, the loss of an experienced player, albeit one who has struggled with form recently, would place increased pressure on his relationship with the Millwall board, which is already understood to be strained.
It is not inconceivable that Wise might decide to walk away from the position he took over in October 2003.
Meanwhile, Wise was today charged with improper conduct by the Football Association following an incident at the end of Tuesday night's 1-0 win at Cardiff.
Wise was sent to the stands after a water bottle that he threw to the ground in disgust bounced up and struck the assistant referee.
Millwall's Alan Dunne and David Livermore, together with Cardiff's James Collins, were also dismissed as the match reached an ugly finale. The Millwall manager has until 10 March to reply to the charge.
Former Arsenal midfielder Brian Talbot left his job as Oldham manager today by mutual consent.
His assistant Tony Philliskirk will take charge of the team for Saturday's League One match at Huddersfield. Oldham have lost seven matches on the trot, conceding 21 goals in that time.
