The defender was rested for the win over San Marino, but won't make their World Cup qualifier against Montenegro.
"We did have some forlorn hope that Gary Cahill might recover," Hodgson said. "But I was warned it was extremely unlikely, and he's not trained yet so there's no chance of him joining us.
"And right at the start of training yesterday, Theo Walcott was crossing a ball. The pitch was slippy, he followed up the cross and immediately felt a twinge in his pelvic area.
"We took him for a scan and there's a slight tear in a very unusual area.
"He's going back home, but hopefully he won't be out for too long."