* European shares stabilise after sell off
* Ample supply could hinder further rally
* Coming Up: API weekly crude stocks; 2130 GMT (Previous SINGAPORE, updates prices)
By Alex Lawler
LONDON, Feb 5 Oil edged higher above $115 a barrel on Tuesday as investor concerns faded about political risks in the euro zone, although ample supply could hinder its chances of extending a three-week rally.
European shares moved up, stabilising after Monday's drop, and the dollar was slightly lower. Shares of British oil giant BP were up 2 percent after its fourth-quarter results beat expectations.
Brent crude was up 11 cents at $115.71 a barrel at 0934 GMT after falling as low as $115.01 earlier. It has gained 4 percent so far in 2013 and reached a more than four-month high above $117 on Friday.
U.S. crude added 25 cents to $96.42.
Some dealers expected Tuesday's move up to be brief.
"Now the market has perked up a bit, but I suspect the quite sustained rally we saw last week is running out of steam now and fundamentals will be reasserting themselves," said Christopher Bellew, a broker at Jefferies Bache.
"There seems to be plenty of crude around. The market is fairly well balanced, so it should not be in an upward spiral because of any lack of supply."
Oil fell on Monday alongside the euro and equities as a rise in political uncertainty in the euro zone weighed on sentiment. Analysts said Iran's offer of fresh talks with the West over its nuclear programme also dampened oil prices.
In Spain, the prime minister is facing calls to resign, while in Italy, former prime minister Silvio Berlusconi is seeing a resurgence in popularity.
Oil traders awaited a report on U.S. oil supplies later the day. U.S. crude stocks are expected to rise by 2.8 million barrels, a preliminary Reuters poll found on Monday.
Industry group the American Petroleum Institute releases its report on Tuesday, while figures from the government's Energy Information Administration follow on Wednesday. (With reporting by Ramya Venugopal in Singapore; Editing by Jane Baird)