Melbourne man Adrian Ernest Bayley has admitted to last year's murder of ABC employee Jill Meagher.

Just a month after he was committed to stand trial, Bayley, 41, pleaded guilty in the Victorian Supreme Court to deliberately killing Ms Meagher in the inner-north suburb of Brunswick in September.

Ms Meagher's family was not in court today but police say they are relieved the case is resolved.

Bayley has been remanded in custody and will return to court in June.

The disappearance of Ms Meagher, 29, sparked a widespread social media campaign and made international headlines when she vanished from busy Sydney Road after a night out with friends on September 21.

Haunting CCTV images released by courts show her attempt to make the five-minute, 500-metre walk home before her chance meeting with Bayley outside a dress shop.

It was at 1:38am, just eight minutes after she left Brunswick bar Etiquette, that Ms Meagher was raped and killed.

At the same time, her husband Tom sent her a text message asking if she was OK.

By 5am, Mr Meagher was searching the streets for his missing wife after 80 or so calls to her phone had gone unanswered.

Her body was later found at Gisborne, 50 kilometres north-west of the city.

Police arrested Bayley five days later.

Other details of the case cannot be reported for legal reasons.