The police are working to complete their probe into the alleged involvement of former premier Najib Abdul Razak and his wife Rosmah Mansor in the murder of Mongolian national Altantuya Shaariibuu, said inspector-general of police Fuzi Harun.

Speaking to reporters this morning, Fuzi said they have recorded a statement from businessperson Deepak Jaikishan, who made the allegation during an interview with Al-Jazeera recently.

"We will take all the necessary actions including recording the statements needed (to facilitate the investigation).

"We have recorded some, including Deepak's. The rest will follow soon.

"I can't give the exact timeline (for the questioning), as we need to make an appointment, to pick the right time to interview him.

"We will solve this as soon as we can," he said during a press conference after the launch of an anti-corruption seminar at Royal Malaysian Police College in Cheras this morning.

While Fuzi did not elaborate who he meant by "him", it is believed that he was referring to Najib.

It was reported that Deepak had, in a recent recording which was uploaded online but has since been deleted, had implicated Najib and Rosmah in the Mongolian model's murder.

Following this, Bukit Gelugor MP Ramkarpal Singh in his debate in parliament on Monday urged the police to bring in the couple for questioning.

Probe into Shahidan case almost complete

Meanwhile, on investigations of former minister Shahidan Kassim's alleged molest case, Fuzi told reporters that the investigation paper will be submitted to the deputy public prosecutor soon.

"Police have yet to submit the investigation paper, but we have questioned him two days ago.

"The paper would be submitted to the deputy public prosecutor as soon as possible," he said.

On the investigation of the former special officer to Deputy Home Minister Azis Jamman, who was accused of taking an upskirt video of a woman in September, Fuzi said police are waiting for further instructions from the deputy public prosecutor.

"Police have submitted the investigation paper. Now, we are waiting (for further instructions)."