Victorian Attorney-General Jill Hennessy will introduce a bill to Parliament on Wednesday that will allow cases with new evidence another chance to be heard before the Court of Appeal.
Currently convicted criminals only get one shot before the Court of Appeal and if that fails,the High Court.
"In cases where fresh and compelling evidence of a potential substantial miscarriage of justice exists,it is appropriate that the judiciary rather than politicians consider the appeal,openly and transparently,"Ms Hennessy said.
She said the change mirrors reforms already in place in Tasmania and South Australia and will ensure that second appeals are only available in exceptional circumstances,and are"dealt with openly and impartially by the courts rather than behind closed doors".
The proposed change come amid a raft of potentially controversial and politically difficult petitions for the Attorney-General,who has 18 awaiting review.
Police killer Jason Roberts,convicted of the 1998 murders of Sergeant Gary Silk and Senior Constable Rodney Miller,was granted a fresh appeal following a petition last year.