The deliveries would most likely happen in May or June, they said.
"There is no fresh buying from Indonesia," one trader said.
Diesel stockpiles in Indonesia hovered above 25 days of consumption, and were deemed high compared with the usual 20-23 days, said a trader familiar with the situation. But the levels have been steadily falling from highs of 36 days in early March.
Besides Enoc, state oil firm Pertamina has term diesel deals with Malaysia's Petronas and Thailand's PTT for supplies of one to two 600,000-barrel cargoes from each party every quarter.
The volumes from the three companies would be reviewed every quarter.
Some diesel supplies from its term suppliers were delivered into Indonesia from January to March, but Pertamina has been reducing such imports to draw down hefty domestic stockpiles amid lower industrial demand, they said.
Kuwait Petroleum Corp (KPC) agreed last month to let Pertamina cut term diesel supply for the second quarter by a third to 3.6 million barrels from 5.4 million barrels.
Gas oil traded in Singapore are above $9.00 a barrel for the prompt crack spread due to heavier refinery maintenance in Asia-Pacific in the second quarter, down from near $12 last week, but up from the lows of $6.00-$7.00 a barrel in early March.