The world's top crude producers are key partners in the OPEC+ deal, which is created to prop up oil prices by cutting global output.
Oil prices dropped on Wednesday as a result of increased supplies in the U.S. U.S. light crude was 40 cents lower at $65.96.
Brent crude, the global oil benchmark, was down 0.36% at $75.61 a barrel on London's Intercontinental Exchange.
His tweet comes in advance of a meeting of the Organization of the Petroleum Exporting Countries and Russian Federation planned for June 22 in Vienna to discuss easing supply caps that have been in place since the beginning of 2017.
OPEC will meet on June 22 in Vienna, Austria, to discuss future production policy.
The IEA report comes a day after OPEC warned of "considerable uncertainty as to world oil demand".
"More oil from OPEC+ is the base case", said Bjarne Schieldrop, chief commodities analyst at Swedish bank SEB.
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While Nigeria reported diminishing oil exports in the wake of force majeure on Bonny Light oil, both Saudi Arabia and Russian Federation this week reported increased oil production for the month of May, at 10.0 million bpd and 11.09 million bpd respectively, sending mixed signals to the oil market. "Unofficial sources have said that Russian Federation will propose to return production back to the October 2016 (level), i.e. removing the cap altogether over a period of three months".
"The prospect of easing supply curbs from OPEC-led producers continues to be reflected in oil's overall depressed price", said Lukman Otunuga, analyst at futures brokerage FXTM.
OPEC and Russian Federation decided together in 2016 to cut their supply in order to push prices up following a crash in prices induced by a global crude production glut.
With output in Russian Federation rising back above 11 million bpd in June and Saudi production climbing to more than 10 million bpd, supplies from the top three producers are increasing.
Official U.S. production and inventory data is due to be published on Wednesday by the Energy Information Administration.