The Southampton left-back sat out Wednesday's training session near Watford, north of London, because he was having treatment for a knock.
"It is not a serious injury and we are pretty confident he will be fit for when we play Russia," Hodgson told reporters.
"It is an injury which will keep him out of tomorrow's game but it is not a long-term concern at all."
Wednesday's session was the first since Hodgson confirmed his 23-man squad.
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
England travel to France on Monday and play Russia in Marseille on June 11. Wales and Slovakia are their other Group B opponents.
(Reporting by Alan Baldwin, editing by Ken Ferris)
