Justice Geoffrey Bellew heard numerous submissions on Wednesday about the application, which was made by solicitors for Legal Aid NSW. 

Magistrate Thomas Hodgson refused Spedding bail in Port Macquarie Local Court on April 23.

The washing machine repairman was arrested the day before by officers investigating William Tyrrell's disappearance.

Spedding, 63, was charged that night with five counts of sexual intercourse with a child under 10 years and two counts of common assault.

He is accused of three counts of having sex with a three-year-old between March 1, 1987 and April 30 of that year.

During the same period he is accused of common assault against the same child.

From March 1, 1987 until the end of the following month he is alleged of two counts of having sex with a six-year-old, as well as common assault against the child.

All the alleged offences took place in the Campbelltown area.

The Supreme Court bail application was lodged by Legal Aid NSW solicitors on April 24.

Spedding's charges will be mentioned in Port Macquarie Local Court on Thursday. He will appear on audio visual link, and will do the same the next day in the Supreme Court.

Police have continually said Spedding is one of numerous "lines of inquiry" they are pursuing.