* U.S. Dec shale output to rise for 12th straight month -EIA
* Fitch says prices above $60/barrel "may not be sustained"
* Longer-term, IEA sees modest impact on oil demand from EVs (Adds shale outlook, updates prices)
SINGAPORE, Nov 14 (Reuters) - Oil prices fell on Tuesday as the prospect of further rises in U.S. output undermined ongoing OPEC-led production cuts aimed at tightening the market.
Brent crude futures were at $62.85 per barrel at 0747 GMT, down 31 cents, or 0.5 percent, from their last close. U.S. West Texas Intermediate (WTI) crude was at $56.55 per barrel, down 21 cents, or 0.4 percent.
The falls came after both crude benchmarks early last week hit highs last seen in 2015, but traders said the market had lost some momentum since then.
Traders said they were cautious on betting on further price rises.
"Prices ... are starting to look like a pause or pullback is needed," said Greg McKenna, chief market strategist at futures brokerage AxiTrader.
This sentiment comes in part on the back of rising U.S. oil output <C-OUT-T-EIA>, which has grown by more than 14 percent since mid-2016 to a record 9.62 million barrels per day (bpd).
The U.S. government said on Monday U.S. shale production for December would rise for a 12th consecutive month, increasing by 80,000 bpd.
A cooling Chinese economy also stoked some concerns on demand, although so far the country's refiners are processing crude oil near record levels of 11.89 million bpd.
Fitch Ratings said in its 2018 oil outlook that it assumed 2018 "average oil prices will be broadly unchanged year-on-year and that the recent price recovery with Brent exceeding $60 per barrel may not be sustained".
So far in 2017, Brent has averaged at $54.5 per barrel.
Despite the cautious sentiment, traders said oil prices would unlikely fall very far, largely due to ongoing supply restrictions led by the Organization of the Petroleum Exporting Countries (OPEC) and Russia, which have contributed to a reduction in excess supplies.
OPEC also raised its oil demand forecast, saying the world would need 33.42 million bpd of OPEC crude next year, up 360,000 bpd from its previous forecast and marking the fourth consecutive monthly increase in the outlook since July.
OPEC is due to meet on Nov. 30 to discuss further output policy. The group is expected to agree an extension of the cuts beyond their current expiry date in March 2018.
Looking further out, the International Energy Agency said on Tuesday there will be 50 million electric vehicles (EVs) on the road by 2025 and 300 million by 2040, from around 2 million now. This is expected to cut 2.5 million bpd, or about 2 percent, off global oil demand by that time.
Still, the IEA's "New Policies Scenario", based on existing legislation and policy intentions, expects oil prices to rise towards $83 a barrel by the mid-2020s. (Reporting by Henning Gloystein; Editing by Joseph Radford and Kenneth Maxwell)