* U.S. daily crude output stays above 10 million barrels
* Libyan oilfield pumping 70,000 bpd shut - source
* U.S. crude inventories fall unexpectedly
* OPEC pleased by pace of market rebalancing - UAE minister (Adds Libyan oilfield shut, updates prices)
LONDON, Feb 23 (Reuters) - Oil slipped towards $66 a barrel on Friday as rising U.S. oil output and exports countered OPEC-led attempts to erode stockpiles with output curbs and a dip in Libyan production.
U.S. oil production last week was steady at 10.27 million barrels per day, a record level if confirmed by monthly figures. Crude exports jumped to more than 2 million bpd, close to a record 2.1 million hit in October.
"The U.S. is pumping out a record amount of oil," said Naeem Aslam, chief market analyst at Think Markets UK Ltd.
"The bull rally which we have seen for the black gold could fade away as the U.S. oil production undermines the OPEC production cut commitments," he said.
Brent crude, the global benchmark, was down 11 cents at $66.28 at 1243 GMT. Prices had rallied in early 2018 and reached $71.28 on Jan. 25, the highest since December 2014. U.S. crude fell 10 cents to $62.67.
Prices recouped some losses following the shutdown of the El Feel oilfield in Libya producing 70,000 bpd. Production in the OPEC member has been running at about 1 million bpd although it remains volatile due to unrest.
A stronger dollar weighed on prices. A firmer dollar can make oil and other commodities denominated in the U.S. currency more expensive for other currency holders.
The latest decline for crude came despite the U.S. Energy Information Administration reporting crude stocks fell unexpectedly by 1.6 million barrels. Analysts said low import figures contributed to the decline.
U.S. production is expected to rise even more this year and top 11 million bpd in late 2018, a headwind for OPEC efforts to drain stockpiles.
But the Organization of the Petroleum Exporting Countries is not outwardly worried by rising U.S. output and says it is comfortable at the speed the market is moving towards balance.
"I think the pace is excellent, the deal is working and we're very happy with it," United Arab Emirates Energy Minister Suhail al-Mazroui, the current OPEC president, told Reuters on Wednesday. "But the job is not yet complete."
In January 2017, OPEC and allies including Russia began to cut production by about 1.8 million bpd, almost 2 percent of global supply, to get rid of a glut that had built up since 2014 and that led to a price collapse.
OPEC wants to reduce inventories held by industrialised nations to their five-year average and is getting closer to that goal.
(Additional reporting by Henning Gloystein; Editing by Edmund Blair and David Evans)