"Gutted to have picked up an injury yesterday," Oxlade-Chamberlain wrote on Twitter. "I'm staying positive and getting to work with the medical team on recovery. Fingers crossed!"
The injury came in Oxlade-Chamberlain's first start in almost two months after recovering from a groin injury.
"He was excellent," Hodgson said, reflecting on the 2-2 draw against Ecuador. "He was back really to his best so all I can do now I suppose is cross my fingers and touch every piece of wood I pass by that it is not serious."
Rob Harris can be followed at www.twitter.com/RobHarris