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* Brent could rise to $70/bbl by Q3 - banks

* U.S. crude, refined products stocks likely fell last week-poll

* Coming up: API inventory data at 2130 GMT

By Jessica Jaganathan

SINGAPORE, Feb 23 (Reuters) - Oil prices rose again on Tuesday after a jump in the previous session, holding near a more than 13-month high as U.S. output was slow to return after a deep freeze in Texas shut in crude production last week.

Shale oil producers in the southern United States could take at least two weeks to restart the more than 2 million barrels per day (bpd) of crude output that shut down because of cold weather, as frozen pipes and power supply interruptions slow their recovery, sources said.

Brent crude futures were up 28 cents, or 0.4%, at $65.52 a barrel by 0102 GMT, while U.S. crude oil rose 14 cents, or 0.2%, to $61.84 a barrel. Both benchmarks rose nearly 4% in the previous session.

"The positive momentum continues in the oil complex, with investors unabashedly predisposed to a bullish view," said Stephen Innes, chief global markets strategist at Axi in a note.

"Several significant oil price revisions were announced overnight and may have contributed to the rally of over 3%," he said.

Goldman Sachs Commodities Research raised its Brent crude oil price forecasts by $10 for the second and third quarters of 2021, citing lower expected inventories, higher marginal costs to restart upstream activity and speculative inflows.

The Wall Street bank expects Brent prices to reach $70 per barrel in the second quarter from the $60 it predicted previously and $75 in the third quarter from $65 earlier.

Morgan Stanley expects Brent crude prices to climb to $70 per barrel in the third quarter on "signs of a much improved market" including prospects of improving demand.

Also supporting prices, OPEC and U.S. oil companies see a limited rebound in shale oil supply this year as top U.S. producers freeze output despite rising prices, a decision that would help OPEC and its allies.

Stockpiles of U.S. crude oil and refined products likely declined last week, a preliminary Reuters poll showed on Monday, due to the disruption in Texas.

(Reporting by Jessica Jaganathan; editing by Richard Pullin)

((Jessica.Jaganathan@thomsonreuters.com; +65 6870 3822; Reuters Messaging: jessica.jaganathan.thomsonreuters.com@reuters.net; Twitter: ))