The start of hurricane and driving season in the U.S., coupled with instability in Nigeria and fuel stockpiling for winter will likely keep the crude price from falling, analysts told CNBC on Wednesday.

"Unless we have a major recession, which is not on the table at the moment … it's very difficult to see how prices would sharply drop from where we are now," Walid Kurdi, European oil editor from Platt's, told "Worldwide Exchange."