"If we continue to see a decent compliance level in the 85 to 95 percent range from OPEC and we do see inventories cleaning up in the U.S. we may get another leg up," Chirichella said.
The U.S. Energy Information Administration (EIA) said on Wednesday gasoline inventories fell by 869,000 barrels last week to 256.2 million barrels, versus analyst expectations for a 1.1 million-barrel gain.
The fall in gasoline stocks suggested U.S. consumption was stronger than expected, and may be healthy enough to support prices at time when most fuel oil markets are very well stocked.
"U.S. gasoline draws are supporting prices today," said Tamas Varga, senior analyst at London brokerage PVM Oil Associates. "They are an indication of stronger U.S. demand."
U.S. gasoline prices were up about 1 percent on Tuesday.
But bloated crude supplies meant that fuel markets remain under pressure.
The EIA report also said that U.S. commercial crude inventories rose by 13.8 million barrels to 508.6 million barrels.