The IEA said Iraqi crude production is now running at 2.3 million barrels per day, compared with 1.9 million barrels at the start of this year.
It puts the rise down to the improving security situation in Iraq, especially in the north of the country.
But the IEA warned that attacks on Iraqi oil facilities remain a threat.
In southern Iraq, more than 85% of the residents of Basra believe British troops have had a negative effect on the Iraqi province since 2003, according to a BBC poll.
The survey for BBC Newsnight of nearly 1,000 people also suggests that 56% believe their presence has increased the overall level of militia violence.