A Melbourne pensioner won't spend any more time behind bars after a judge accepted he was "infatuated" by an American Islamic State supporter he sent money to.

Hampton Park man Isa Kocoglu admitted sending more than $2700 over several transactions to John Georgelas while the American was fighting in Syria in 2014.

County Court Judge Greg Lyons said it wasn't in the interest of justice to sentence Kocoglu to more than the 31 days he served on remand several years ago when he was first charged.

Isa Kocoglu is seen leaving the Melbourne Magistrates Court in Melbourne, Friday, July 13, 2018. (AAP)

Kocoglu has spent three years on strict bail conditions including daily reporting to police, a curfew and restrictions on his internet use, including not accessing social media.

He was freed today on a $500 promise to be of good behaviour.

Kocoglu's barrister Rishi Nathwani had argued that the now 45-year-old was groomed by Georgelas after the death of one of his young twin sons in a devastating house fire in 2011.

He'd spent more time online and examining his faith and ideas in the period afterward, which had led him to Georgelas, the court heard.

Judge Lyons said while Kocoglu had held some extremist views as early as 2005 it was easy to imagine the tragedy had played a role in what transpired.

He agreed there was not much difference between him being "infatuated with" and "groomed by" Georgelas and that the relationship was built on trust, faith and the belief Georgelas needed money to run his pro-Islamic State website.

Kocoglu was the administrator of a supportive Islamic State Facebook group during 2014, when he made a total of four transfers to Georgelas to support the ongoing operation of his website in Syria.

He also suggested a small proportion of the first payment could be directed to Syrian people to provide dates or barley.

Judge Lyons said while the offending was serious, the amounts were small and it was noteworthy the money was not to be spent on arms or ammunition for the terrorist organisation.