Saracens centre ruled out of England's second South Africa Test
Barritt was forced off during the second half of England's opening defeat and has subsequently had surgery on a lacerated eyeball.
Sarries fly-half Owen Farrell scored four penalties in England's 22-17 defeat.
Meanwhile, Saracens were beaten 22-20 by BGC Asia Pacific Barbarians in Hong Kong.
Jamie George and Nathan Earle scored for the Men in Black but a late penalty sent them to defeat.