* Strong demand, OPEC-led supply cuts support market
* Decline in Asian floating storage points to tighter market
* Middle East tensions could cause volatility
* Rising U.S. output may weigh on prices (Adds declining floating storage chart, comment, updates prices)
SINGAPORE, Nov 10 (Reuters) - Oil markets were little changed on Friday, supported by ongoing supply cuts and strong demand which have resulted in a tightening market, although the prospect of rising U.S. output capped prices.
Brent crude was at $63.81 per barrel at 0615 GMT, down 12 cents from its last close but within $1 of a more than two-year high of $64.65 reached earlier this week.
U.S. West Texas Intermediate (WTI) crude was at $57.08 per barrel, down 9 cents but also not far from this week's more than two-year peak of $57.92 a barrel.
The high prices were a result of efforts led by the Organization of the Petroleum Exporting Countries (OPEC) and Russia to tighten the market by withholding supplies, as well as strong demand and rising political tensions.
"Oil prices have rallied sharply over the past week ... The latest catalyst for this move higher was the sharp rise in geopolitical tensions last weekend, with growing confidence in an OPEC extension and strong oil demand fueling the rally previously," said U.S. bank Goldman Sachs.
The strong demand is visible in Southeast Asia, where the nummber of tankers holding oil in storage around Singapore and Malaysia has halved since June.
"Inventory changes over recent months indicates that the supply/demand imbalance has improved," said William O'Loughlin, analyst at Rivkin Securities.
But there were some words of caution. "This (oil upward) move may be short-lived... It is possible that shale ... production can be brought back on stream relatively quickly," Morgan Stanley bank.
Goldman warned of greater price volatility ahead due to increasing tensions in the Middle East, especially between OPEC fellows but political arch-rivals Saudi Arabia and Iran, along with soaring U.S. oil production.
"We see potential for high spot price volatility in the coming weeks," Goldman said.
"A rise in the U.S. rig count and a non-committal OPEC meeting would push prices lower, in our view, yet additional escalation of recent geopolitical tensions could lead to another large rally," it added.
ANZ bank said that "political stability was jolted awake this week" in the Middle East.
"While the likelihood of a disruption to (oil) supply remains low, we believe the events raise the probability of Saudi Arabia taking a more aggressive stance on production curbs ... As such, we see oil prices remaining well supported in the short-term," ANZ said.
OPEC is due to discuss output policy during a meeting on Nov. 30, and it is expected it will extend cuts beyond the current expiry date in March 2018.
"Recent OPEC communication suggests that an extension will be announced but there are no details on volumes," Goldman said.
(Reporting by Henning Gloystein; Editing by Joseph Radford and Richard Pullin)