Russian oil flowed through the Ukrainian section of the Druzhba pipeline on April 22 after a halt lasting months, officials said.
Hungarian oil group said that Ukraine had informed it that deliveries of Russian crude had resumed through the pipeline.
"MOL expects the first crude oil shipments following the restart of the Ukrainian section of the pipeline system to arrive in Hungary and Slovakia by tomorrow at the latest," it said in a statement.
Kremlin spokesman Dmitry Peskov told the Russian news outlet Izvestia that technical details of oil supplies via the Druzhba pipeline were being discussed at a corporate level.