But he told the British press that he won't be stepping down after the tournament.
“No. I don’t have any intention to resign," he told reporters. "I’ve been really happy with the way the players have responded to the work we’ve tried to do. I’m bitterly disappointed, of course, but I don’t feel I need to resign, no."
Hodgson's contract runs through the Euro 2016 tournament.
He admits the obvious — that England's chances of advancing past the group stage are now "unbelievably slim," following losses to Italy and Uruguay.
England needs Italy to win its next two matches and then the Three Lions would have to beat Costa Rica by a significant margin to secure a berth on goal differential.
"To continue, we needed a result. We needed a victory and we didn't get it," Hodgson said after the loss to Uruguay.
If England doesn't advance, it will be the first time since 1954 that they haven't made it past the group stage at the World Cup.
"I think that in both games we've shown some elements of playing some good football and we've shown we are a team making progress," he said. "But results decide everything and both results have been negative."
Italy play Costa Rica on Friday before the final matches in Group D take place on Tuesday.