Much has been debated since President Trump tweeted that "The U.S has secured the oil" in Syria. Is this feasible? Does it make any sense? The below will explain how and why the answer is a resounding NO.
Al-Omar and Conoco fields are already secured by Kurdish-led SDF and U.S forces. Some of the oil from these fields was being sold through third parties to Syria's government by giving it in crude form and taking back half the quantity as refined product (the government owns the refineries).
Syria's government now has access to oil fields inside the 32km zone (established by the Turkish military incursion and subsequent withdrawal of Kurdish forces). Such fields can produce up to 100K barrels a day and will already go a long way in terms of meeting the country's immediate demand. So the importance of accessing oil in SDF/U.S hands is not as pressing any longer.