Saka has been battling the problem since March and England coach Thomas Tuchel has repeatedly stressed the need to carefully manage the 24-year-old's workload during the tournament.
The winger was not involved in the session at England's Kansas City base but there was no indication from the FA that his availability for Tuesday's Group L match was in doubt.
Saka came off the bench in England's 4-2 win over Croatia in their opening game and made an immediate impact, helping to create Marcus Rashford's late goal as Tuchel's side began their World Cup campaign in style.
The Arsenal player said before the tournament that he was prepared to take the gamble of playing through the injury in order to feature at the World Cup, although Tuchel has acknowledged he is unlikely to be able to start and finish every match.
England top Group L after the opening round of matches and face Ghana on Tuesday before concluding the group stage against Panama.