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State news agency IRNA quoted Rokneddin Javadi as saying that the pre-sanctions level would be attained by the end of the Iranian month of Khordad, which falls on June 20.
Iran's oil production was slightly below 4 million barrels a day before sanctions were imposed on the oil industry in 2011 and 2012. Last week Javadi said output had already surpassed 3.5 million barrels a day.