Steve Wright was jailed for a whole life term
Suffolk serial killer Steve Wright has renewed his appeal against convictions.
Wright, 50, was jailed for life in February after being found guilty of the murders of five women.
His initial application for leave to appeal was rejected earlier this month by a judge who said the trial was fair and his defence team did its job.
Wright has now renewed the bid and it will be considered by three judges in an open court hearing, the Royal Courts of Justice (RCJ) said.
Wright was sentenced after a six-week trial when jurors unanimously found him guilty of the murders of the women who were all working as prostitutes.
The naked bodies of Gemma Adams, Tania Nicol, Anneli Alderton, Paula Clennell and Annette Nicholls were found over a 10-day period near Ipswich in December 2006.
In his appeal bid, Wright suggested another witness, who had been a suspect in the case, should have been called to give evidence.
A spokesman for the RCJ in London said: "The case will be sent off for a summary assessment to be completed. It usually takes about six weeks but can take longer."