Crime police filed the request for the extension of his detention to June 20, saying another four witnesses have to give more statements, according to a Matchon Online report.
They also claimed they were waiting for the examination results of the clip of Mr Chaturon's interview on May 27 at the Foreign Correspondents' Club of Thailand, where he was taken into custody.
However, the police do not oppose his bail since they have already interrogated Mr Chaturon.
The former education minister opposed the police custody extension request, saying the interrogation of the four witnesses was enough and the interview clip should have been checked before he was charged.
The court ruled in favour of the police, but allowed Mr Chaturon to apply for bail.