Justice Raja Vijayaraghavan gave the direction while considering the anticipatory bail plea moved by Gopi.
The judge then posted the matter for further hearing to January 9.
The prosecution said Gopi was using the vehicles in the state evading payment of tax.
Gopi, who filed the anticipatory bail plea on December 12, informed the court that he was prepared to fully cooperate with the investigation team.
Police had registered a FIR against the actor on December 5, charging him with falsifying and fabricating documents by showing an address in the union territory and getting the vehicles registered there, causing revenue loss to the state government.
The FIR is pending before the chief judicial magistrate court, Thiruvananthapuram.
In his plea, Gopi said the allegations prima facie were false.
He said he had chosen to register the two vehicles at Puducherry, where he owns agricultural land which was being looked after by family members, including his brothers.
Police have said the actor-turned-politician used a fake residential address to register his luxury vehicles in Puducherry to evade the 20 per cent tax in Kerala on luxury cars costing Rs 20 lakh and above.
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