REFILE-UPDATE 7-Big crude drawdown supports prices, tames oversupply fears

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* Larger-than-expected decline in crude, gasoline stocks

* OPEC discussed deepening output cut by 1-1.5 pct - sources

* Trump decision on climate accord expected at 3 p.m. EDT

NEW YORK, June 1 (Reuters) - Oil prices rose about 1 percent on Thursday after a larger-than-expected draw in U.S. inventories, providing some relief amid investor scepticism that OPEC-led cuts will be enough to rebalance an oversupplied market.

U.S. crude stocks fell sharply last week, driven by a surge in refining and exports to record highs, while gasoline inventories also dropped sharply ahead of the start of the summer driving season, the Energy Information Administration said.

"Its what the market needs to get a little more excited about prices," said Scott Shelton, energy specialist at ICAP in Durham, North Carolina.

Oil futures extended their gains after the data with U.S. crude futures 1.2 percent, or 58 cents, higher at $48.90 a barrel by 12:45 p.m. (1645 GMT), while Brent crude gained 41 cents to $51.17.

The EIA data showed that crude inventories dropped 6.4 million barrels, more than the 4.4 million-barrel drop forecast although a smaller drawdown that industry group the American Petroleum Institute's (API) report of a fall of 8.7 million barrels.

The bullish U.S. inventory data provided some relief after a week of negative news on the global supply-demand balance.

On Wednesday, a Reuters survey found output from the Organization of the Petroleum Exporting Countries (OPEC) rose in May, the first monthly increase this year, as higher supply from two states exempt from a production-cutting deal, Nigeria and Libya, offset improved compliance with the accord by others.

OPEC and other producers, including Russia, have agreed to restrict output by 1.8 million bpd to drain stockpiles that are close to record highs in many parts of the world.

The group, however, last week discussed cutting output by a further 1-1.5 percent, and could revisit the proposal should inventories remain high and continue to weigh on prices, sources said.

"There are signs that the 1.8 million barrel cut is not really what the market is feeling because of rising production in the U.S., Libya, Nigeria and even the North Sea," said Gene McGillian, manager of market research at Tradition Energy in Stamford, Connecticut.

Russia, which has cut production by 300,000 bpd under the deal, could increase production next year to as much as 11.07 million bpd, the country's deputy energy minister told Reuters.

U.S. production, meanwhile, is rising close to levels from top producers Russia and Saudi. It hit 9.34 million bpd last week, its highest since August 2015, according to the EIA.

"The worry is that you have rising output in the U.S. and thats going to offset cuts," said Gene McGillian, manager of market research at Tradition Energy in Stamford, Connecticut.

President Donald Trump has vowed to provide extra support for U.S. oil production and is expected to pull the United States out of a landmark global climate accord. He is expected to announce his decision at 3 p.m. EDT (1900 GMT).

(Additional reporting by Christopher Johnson and Ahmad Ghaddar in London, Aaron Sheldrick in Tokyo; Editing by Marguerita Choy and Dale Hudson)