* OPEC, Russia expected to agree supply cuts next week
* U.S. crude stocks rise for 10th straight week - EIA
* U.S. output remains at record 11.7 mln bpd - EIA (Adds comment, updates prices)
SINGAPORE, Nov 30 (Reuters) - Oil prices firmed on Friday on expectations that OPEC and Russia will agree some form of production cuts next week, although swelling U.S. supplies kept markets in check.
International Brent crude oil futures were at $59.81 per barrel at 0347 GMT, up 30 cents, or 0.5 percent, from their last close.
U.S. West Texas Intermediate (WTI) crude futures were up 20 cents, or 0.4 percent, at $51.65 per barrel.
Despite the firmer prices, crude oil has lost almost a third in value since early October because of an emerging supply glut following a global surge in production, including from the United States, Russia and by the Middle East-dominated Organization of the Petroleum Exporting Countries (OPEC).
To rein in the glut, OPEC and its main partner Russia are moving closer to an agreement around further production cuts.
ANZ bank said on Friday that oil prices were rebounding "as signs that OPEC+ was moving closer to an agreement around further production cuts." The producer group plus non-OPEC member Russia will gather on Dec. 6 and 7 in Vienna to discuss output policy.
Before that, the world's top three producers - the United States, Russia and Saudi Arabia - will be part of a meeting of the Group of 20 industrialized nations in Buenos Aires, Argentina, this weekend.
Part of the glut is swelling supply in the United States, where commercial crude oil inventories <C-STK-T-EIA> rose by 3.6 million barrels in the week to Nov. 23 to 450.49 million barrels, according to the Energy Information Administration (EIA). Production <C-OUT-T-EIA> remained at a record 11.7 million barrels per day (bpd).
Crude reserves increased 6.4 billion barrels, or 19.5 percent, to 39.2 billion barrels at year-end 2017, marginally higher than the previous record of 39 billion barrels set in 1970, the EIA said.
"With fears over excessive supply and worries about falling demand the primary themes weighing on oil markets, the outlook for Brent Crude and WTI remains bearish," said Lukman Otunuga, analyst at futures brokerage FXTM.
(Reporting by Henning Gloystein Editing by Kenneth Maxwell)