David Drumm has launched yet another bid to be released on bail ahead of his extradition proceedings.
The Massachusetts District Court in Boston last week rejected his first appeal against an earlier decision to deny him bail.
Mr Drumm's lawyers have tonight filed legal paperwork indicating their intention to appeal that second refusal of bail to a higher court.
The clerk of the District Court must deliver the relevant paperwork to the First Circuit Court of Appeals by 2 February before the appeal can proceed.
Mr Drumm's extradition hearing is currently set for 1 March.
He is wanted to face 33 charges in Ireland relating to alleged activity while he was CEO of Anglo Irish Bank which was designed to shore up the bank's balance sheet and share price.
The 49-year-old has been in custody in the US since he was first arrested on 10 October.
He has argued that he meets special circumstances required to be released on bail and that he is being held in "intolerable and inhumane" conditions in a detention centre.
He was originally refused bail in December but had appealed that by filing a writ of habeas corpus. That appeal was rejected last week.
Mr Drumm's lawyers had argued that the former banker qualified for bail because he had "special circumstances" which applied to him, such as the delay in Ireland bringing charges against him, the conditions of his detention which subjected him to "safety risks" and hindered his ability to consult with his lawyers, and that his wife and two daughters were financially dependent on him.
However the judge hearing the appeal, Richard Stearns, ruled that the original decision that none of these qualified as "special circumstances" under the law was correct, and no error in judgement had been made.