Brent crude futures were at $104.35 a barrel at 0250 GMT, down 5 cents, or 0.05%. U.S. West Texas Intermediate (WTI) crude rose 9 cents, or 0.1%, to $95.07 a barrel. WTI had climbed nearly $1 earlier in the session.
"A sharper decline in inventories should support oil prices, but the rebound was limited by concerns about potential weak demand, and the White House stated that it will further release strategic reserves," said Leon Li, a Shanghai-based analyst at CMC Markets.
In addition, the prospect the U.S. Federal Reserve will announce an aggressive rate rise later on Wednesday weighed on sentiment and limited the rise in oil prices, he said.
After Tuesday's settlement, industry group the American Petroleum Institute said crude stocks in the United States fell by 4 million barrels last week.
That was four times bigger than the decline expected by analysts in a Reuters poll.
Gasoline inventories fell by 1.1 million barrels, compared with expectations for a build of 3.5 million barrels, the data showed.
The U.S. government's Energy Information Administration releases its weekly oil report later on Wednesday.
The Biden administration said on Tuesday it will sell an additional 20 million barrels of oil from the country's Strategic Petroleum Reserve as part of a previously announced plan to tap the facility to calm oil prices.
The administration said in late March it would release a record 1 million barrels of oil per day for six months from the SPR. The United States has already sold 125 million barrels from the reserve with nearly 70 million barrels delivered to purchasers.
Meanwhile, the U.S. Federal Reserve is expected to raise interest rates by 75-basis-points later on Wednesday, underlining concern about the outlook for U.S. demand and the prospect of a stronger dollar, which would make dollar-denominated commodities more expensive for buyers holding other currencies.