The two supertankers, with crew members from Iran and China, were seized last Sunday (Jan 24) in Indonesian waters near Kalimantan island.
The MT Horse, owned by the National Iranian Tanker Company and MT Freya, managed by Shanghai Future Ship Management Co, had a total of 61 crew members on board.
"The ships will arrive in Batam at around 3pm to 4pm later today," Wisnu Pramandita, spokesman of the Indonesian coast guard, told Reuters.
Wisnu said some of the crew remained in the supertankers, but others were being detained on coast guard ships for questioning while the investigation was underway.
Wisnu told Reuters on Monday that the ships were "caught red-handed" transferring oil from MT Horse to MT Freya and that there was an oil spill around the receiving tanker.
Iran said on Monday that MT Horse was seized over a "technical issue" and had asked Indonesia to explain the seizure.
ZZ/IRN84199848/PR