Iraqi military action in the Kurdistan region of Kirkuk is still sharply reducing crude exports.
Two shipping sources told Reuters that the flow of oil was running at between 200,000 and 250,000 barrels per day (bpd) on Saturday and Sunday.
This compares to normal rates of about 600,000 bpd.
The crude is pumped to the Turkish port of Ceyhan for loading on to tankers.
