Around 70 Russian aid trucks have now entered Ukraine without permission from Kiev and the previously agreed escort of the Red Cross, Reuters reports.
An unnamed Ukrainian government official told the news agency: "The convoy started to move on its own, without consent from the Ukrainian side and unaccompanied by the Red Cross."
Russian President Vladimir Putin has reportedly been informed of the convoy's progress.
More top news
The wait is over and you've finally got your GCSE results, so what can you do next?
A&E services at County Hospital in Stafford have been suspended for under 18s because the service is 'not clinically safe'.
GCSE grades have fallen across the board but girls continue to outperform boys, according to this year's results.