Reports have emerged that Jill Meagher's accused murderer was 'tipped off' by a public official while under surveillance prior to his arrest by police.

Adrian Ernest Bayley, 41, was told by telephone that he was a suspect in a serious crime, according to a Sun Herald report.

Police allegedly considered a review into whether the tip-off amounted to a serious breach which could have obstructed the investigation. After initial inquiries, the matter was not pursued.

The revelations come as authorities battle to prevent potential obstruction of justice claims over social media sites targeting the accused.

A Melbourne magistrate this week banned publication of prejudicial material about Bayley in a bid to halt an unprecedented online hate campaign waged against him.

Deputy Chief Magistrate Felicity Broughton said while it had been argued an order suppressing material about Adrian Ernest Bayley was futile given the "anarchic nature" of the internet, the court had to do its best to protect the administration of justice.

A large bundle of material from social media websites such as Facebook and Twitter that promoted hatred against Bayley was provided to Ms Broughton by lawyers for Bayley.

Ms Broughton said revealing such information was "prejudicial, contemptuous and extremely serious".

She granted an order suppressing certain background information about Bayley until a committal mention on January 18.

Bayley, who appeared in court via videolink from prison, sat wearing a grey jumper with his hands clasped in front of him and his head bowed.

Bayley, of Coburg, has been charged with Ms Meagher's rape and murder.

Ms Meagher was allegedly attacked while walking home from a Brunswick bar in the early hours of September 22.

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