The withdrawal of American troops from Syria's northern border opened the way for Turkey's military incursion against Kurdish forces in the country.
Mr Trump's decision to protect oil fields in the eastern province of Deir Ezzor led the Pentagon to send reinforcements to that area while US troops move away from areas close to the Syrian border with Turkey, the US official said on condition of anonymity.
Reinforcements have started to arrive in Deir Ezzor, while some troops have been sent to the north to help secure the withdrawal from that area and others have moved from Syria to northern Iraq.
But overall, the number of American troops in Syria is similar to that before the announcement of the withdrawal in mid-October.
"We remain below 1,000 and the withdrawal continues," the official said.
The withdrawal has not been entirely free of hitches, with Turkish artillery shells falling close to a US patrol Sunday near the "safe zone" that Turkey has set up in northern Syria near the border.
Shells fell within a kilometre of the road the patrol was on but the patrol was not hit, the US Central Command said.
The legality of the US operation to guard the oil fields remains a subject of debate even within the Pentagon.
In private, some officials express doubt about the possibility of denying the Syrian government access to the fields if Kurdish fighters, who now control the area with the Americans, reach a deal with President Bashar al-Assad to share the profits from the oil.
Asked about the US mission to protect Syria's oil fields, Defense Secretary Mark Esper said the goal was to deny access to them to the Islamic State group "and other actors in the region."
He did not specify what actors they were. No one at the Pentagon would say if the Syrian regime and Russia were among these actors.