Sterling did not play a part in England's 3-0 win over Senegal in the last 16, leaving Qatar last weekend to return to his family.
"The Chelsea forward temporarily left to attend to a family matter but is now expected to rejoin the squad in Al Wakrah on Friday ahead of the quarter-final with France," the FA said in a statement.
England play France at Al Bayt Stadium on Saturday.
Sterling made two appearances in the group stages, grabbing a goal and assist in the 6-2 win over Iran in England's opener.
But he will be competing for a spot in the starting lineup with Bukayo Saka and Marcus Rashford - who have both scored three goals in Qatar - as well as Phil Foden.
If England go through, they will play the winners of the quarter-final between Portugal and surprise package Morocco.
