The complainant also has interim name suppression.
The man's lawyer today said two psychiatric reports had now been completed, and his client was considered fit to stand trial.
However he had not yet been able to discuss pleas with him.
The man was remanded to appear again in court in March where he will enter pleas, and name suppression will be argued.
According to Rainey Collins Lawyers, bigamy carries a maximum sentence of seven years in prison, and is an offence because it is considered to represent a threat to public morality and to compromise the institution of marriage.
"When a person who is already married marries another person, both parties to the second marriage are committing a crime, irrespective of where in the world the second marriage took place," they said in a post on their website.
"The only defence to the crime of bigamy is if the first spouse has been absent for seven years, and is believed to be dead."