The central bank said on Thursday that it would inject $40 billion a month into the economy.
Brent crude for November delivery was up 26 cents at $116.92 a barrel, while US crude was up 1 cent to $99.01.
There are fears that high oil prices could hamper economic recovery.
The Fed’s announcement that it would start a third round of bond-buying, known as quantitative easing, has been dubbed QE3.
“The big question is how long this Fed-inspired rally will continue, as QE3 was the last bazooka to be used in the central bank’s arsenal,” IG markets said in a report.
“For the time being, [the oil price] has given a powerful shot in the arm for global markets.”
But Victor Shum, managing director of consultancy IHS Purvin & Gertz, said the current price “doesn’t do any favors” for a global economy that is struggling to get back on track.
“A price rally like we are seeing now is only going to do more damage,” he said.
But he added that he did not expect this level of trading to last.
“Fundamentals at the moment are not indicative of these prices, and I don’t see oil being able to sustain this rally.”
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