An Israeli court has again rejected a bid to speed up extradition proceedings against alleged child abuser Malka Leifer, sparking renewed calls from an Australian MP to immediately send the former Melbourne school principal back to the country.

Labor MP Josh Burns has written to Israeli President Reuven Rivlin calling for the court proceedings to be completed "as expeditiously as possible" to allow Ms Leifer to be extradited to Australia.

Malka Leife (right) in court in Jerusalem in 2018. Credit:AP

According to a report by Israel's Channel 13, the Jerusalem District Court this week rejected the state attorney office's request to set a date as soon as possible for the formal extradition proceedings.

Judge Miriam Lomp said the required legal proceedings had not yet been completed and the request had no legal basis.