Hodgson revealed he offered Terry the chance to exit England's 5-0 win over Moldova 20 minutes from time after he suffered an ankle injury.
With all England's substitutes used, the 31-year-old declined.
"I'd liked to have taken him off, and we did suggest we'd play with 10," said Hodgson. "He's a warrior though, so he poo-pooed the suggestion he should come off with 20 minutes to go.
"He took a kick on the ankle in the first half and then twisted it slightly when he landed in front of the bench in the second half.
"They're assessing him at the moment. It's obviously not a very serious injury, but every knock is important with only three days between games."
England's biggest away win since their 7-1 defeat of San Marino in 1993 was launched by two goals from Frank Lampard, who has now scored 25 times for his country, one more than Sir Geoff Hurst.
Not bad for a player who, at 34, might have feared his international days were over when he missed Euro 2012 with a groin injury.
"Frank was excellent," said Hodgson.
"Quality is permanent, and that's proved itself time and time again.
"He might not always play to the top of his game, because football is football, but you're better off going into games having that quality on the field."