Prosecutors in Australia allege he booked a flight to Turkey and made plans to travel from there to Syria on a New Zealand passport in 2013.
He was arrested in 2013 after being connected to an extremist criminal syndication alleged to be recruiting people from Australia to fight jihadists in Syria.
Numerous coded phone records were expected to be played in court, TV3 reported.
Each of the four charges carries a maximum penalty of 10 years in prison.
A spokesperson for the Prime Minister John Key said "We are aware of the report.
"It's not the practise of the Prime Minister to comment on individual cases and the matter you refer to is also currently before the court.
"Any proven case of people travelling to fight overseas would be of concern to the New Zealand Government."
There are no records of Mohamed causing trouble in New Zealand, TV3 reported.
In a Somali graduate profile journal, Mohamed wrote: "I am aiming for a career in the business sector but ultimately I want to establish my own business and be successful in it."
Mahad Warsame, a family friend and president of the Somali Community Association, previously told the Herald Mohamed he had denied he wanted to travel to Syria.
"When the family spoke to him he said that he wasn't going to Syria," said Warsame.
"The family have no idea what happened to him. Most of the time he lived with his mother in Melbourne, then he left for Sydney and was away for a month or two.
"The next thing they hear he's been arrested in Brisbane."
Warsame said Mohamed's family and friends were in shock over the claims and described him as a "funny and loving young man".
Mohamed moved to New Zealand in 1998 as a refugee with his mother and four sisters after his father was killed in the Somali civil war.
"They are a very good family. The mother was a very strong woman," said Warsame.
He is profiled in the Somali Graduate Profile Journal as having attended Auckland's Lynfield College and claims he graduated AUT in 2012 with a degree in business.
However, AUT University spokeswoman Aimee O'Driscoll said there was no record of Mohamed graduating and it was unclear whether he ever registered as a student.
He moved to Australia in late 2012 and a year later he is alleged to have obtained a new passport and registered a mobile phone in a false name as part of his efforts.
