Agim Ajazi, 31, did not appear in Brisbane Magistrates Court on Friday when prosecutors asked for an adjournment during a brief mention of his case.

"The prosecution is seeking a further adjournment to obtain foreign evidence," commonwealth prosecutor Sinead Butler said.

Ajazi is facing five commonwealth terror offences including incursion into a foreign state with the intention of engaging in hostile activity, engaging in hostile activities in a foreign country and advocating terrorism.

He is also accused of membership of a terrorist organisation and providing support to a terrorist organisation.

Ajazi was allegedly a supporter of Syrian terrorist organisation Jabhat al-Nusra between 2014 and 2016.

He was deported from Turkey to Queensland via South Australia in December, 2019.

Australian authorities began investigating Ajazi in 2013 before he left Australia and continued to monitor him in Syria.

Court documents allege he arrived in Syria on March 1, 2014, and became a member of the terrorist group.

Ajazi is accused of spreading propaganda and performing guard duties from July 1, 2014, to September 30, 2016.

Australian Federal Police say Jabhat al-Nusra adhered to a violent extremist ideology with links to Al-Qaeda.

While in Syria, Ajazi allegedly fought under the nom de guerre Ahmed Shaheed and used social media to document his activities.

Information collected from his accounts is expected to form a significant part of the Commonwealth's evidence against him.

Ajazi was allegedly recorded "boasting about the killing of non-Muslims in a conflict zone", the AFP has previously said.

He also allegedly made references to attacking non-Muslims in the West, including Australia, the US and UK.

Ajazi remains in custody and his case is scheduled for mention on December 18.

Australian Associated Press