"The market will oblige all (producers) not to reduce but to stabilise their output levels," Mazrouei, whose country is a key OPEC producer, told satellite news channel Sky News Arabia.
He expected world demand for crude to rise this year by 1.3 million barrels per day (bpd) and also said it was "possible" that supplies from non-OPEC producers fall by 500,000 bpd.
Producers could fall short of the 1.8 million bpd gap because "several countries have suspended investments" needed to boost output capacity, the United Arab Emirates minister said.
Oil surged today on world markets, following a report in the Wall Street Journal quoting Mazrouei as saying the Organization of the Petroleum Exporting Countries was willing to cooperate with other producers on trimming the global crude supply glut.
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That was reportedly based on a reporter's tweet of the minister's interview with Sky News Arabia.
In today deals, Brent North Sea crude for delivery in April jumped USD 1.60, or 5.3 per cent, to USD 31.66 a barrel.
WTI had yesterday settled at USD 26.21 -- the lowest close since May 2003.
Some market analysts said the support for oil prices mirrored a recovery across European stock markets rather than the Wall Street Journal report.