The Tottenham Hotspur centre-half was stretchered off midway through the second half after suffering what looked like a serious knee injury.
A Football Association statement today confirmed the 26-year-old was out of Tuesday's Group G game against Switzerland in Basel. He will not be replaced, the statement added.
"England and Tottenham Hotspur medical staff were in contact this morning and Dawson has now returned to his club for further treatment. There will be no further call-ups."
Dawson's injury was one of the few negatives for England as they launched their qualifying campaign with a convincing defeat of Bulgaria.