The man who raped and murdered Jill Meagher, Adrian Bayley, has avoided paying $12559 in traffic fines.

Bayley applied in May to convert the fines to jail time. Magistrate Lance Martin granted that request in the Melbourne Magistrates Court on Tuesday afternoon, converting the 40 fines into an 87-day sentence.

Mr Martin ordered that the sentence be served concurrently with the 35-year sentence Bayley received in June for murdering Ms Meagher.

The court heard that the fines covered a range of traffic offences, including speeding and parking infringements, and were issues from a number of enforcement agencies.

Bayley lodged an appeal last week against the length of his 35-year sentence.