Abdeljalil Mayuf said Benghazi-based Agoco had now cut production by 30,000 bpd since Thursday. "We are now at 340,000 bpd," he said by phone.
Demonstrators have obstructed the main entry gate since April 23, preventing Agoco staff from reaching their offices.
Agoco had threatened to cut output if no solution was found by Thursday.
Mayuf said more than 100 Agoco employees gathered outside the Benghazi office of the High Security Committee on Saturday calling for a solution to end the blockade.
He said officials there said that a meeting was planned later in the day with the head of Libya's ruling council over the matter.
(Reporting by Marie-Louise Gumuchian; Editing by John Stonestreet)
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