* Dollar halts slide after falling to 3-year low
* Demand outlook seasonally weakens at end of winter
* Rising U.S. output undermines OPEC/Russia supply cuts (Re-leads, updates prices)
SINGAPORE, Jan 26 (Reuters) - Oil prices fell on Friday as market fundamentals are expected to weaken with the upcoming end of the peak demand period during the Northern Hemisphere winter.
Brent crude futures were at $70.18 per barrel at 0504 GMT, down 24 cents, or 0.3 percent, from their last close. Brent the previous day rose its highest since December 2014 at $71.28.
U.S. West Texas Intermediate (WTI) crude futures were at $65.32 a barrel, down 19 cents, or 0.3 percent from their last close. WTI also marked its highest since December 2014 in during the previous session at $66.66.
Georgi Slavov, head of research at commodities brokerage Marex Spectron, said despite a generally healthy outlook for oil demand, there were short-term headwinds due to the upcoming end of the peak demand period during the Northern Hemisphere winter season.
Many refiners shut down after winter for maintenance, resulting in lower orders for crude, their most important feedstock.
"Demand is starting to weaken as ... refining capacity was taken out of the market," Slavov said.
This is reflecting in oil inventories.
"Global oil stocks built overall in the week ending Jan. 19, as both crude and product stocks saw small builds," U.S. bank Morgan Stanley said in a note.
On the supply side, U.S. oil production <C-OUT-T-EIA> is expected to hit 10 million barrels per day (bpd) soon, after reaching 9.88 million bpd last week.
Output has grown by more than 17 percent since mid-2016, and is now on par with top exporter Saudi Arabia's.
Only Russia produces more, averaging 10.98 million bpd in 2017.
Rising U.S. output is threatening to undermine the supply restraint led by the Organization of the Petroleum Exporting Countries (OPEC) and Russia aimed at propping up prices.
These cuts, coupled with demand growth, have contributed to a near 60 percent rise in oil prices since mid-2017 as excess crude inventories around the world have been drawn down.
Crude oil futures have also received support from a weakening dollar.
The U.S. currency has lost almost 13 percent in value against a basket of other leading currencies since the start of 2017.
As oil is traded in dollars, swings in the greenback can also impact oil demand as it affects the price of fuel purchases for countries using other currencies.
"The weakening of the U.S. dollar against a basket of global currencies... has positioned 2018 to lead off with strong levels of oil demand," said BMI Research.
(Reporting by Henning Gloystein; Editing by Joseph Radford and Christian Schmollinger)