"The gap between supply and demand is closing," Amin Nasser told an international energy forum.
He said the state oil company's analysis sees the market "balanced by the first half of 2017."
Last week, the chief of the International Energy Agency said the market would rebalance earlier than expected if major crude producers implement a deal to cap output when they meet next month.
Under current conditions, the IEA expects global output to exceed demand until the second half of 2017, Fatih Birol said in Singapore.
In a surprise move, members of the Organization of the Petroleum Exporting Countries led by Saudi Arabia agreed in September on a deal to trim production.
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