The 66-year-old Three Lions manager insists the Manchester City goalkeeper remains his first-choice shot-stopper, despite his gaffes against Bayern Munich on Wednesday night.
The 26-year-old fumbled a Franck Ribery effort into the net for Bayern's first goal in the Champions League fixture, before Arjen Robben beat him at his near post for the third.
Those errors have seen the shot-stopper once again in the spotlight ahead of England's crucial World Cup qualifying fixtures against Poland and Montenegro at Wembley, but Hodgson insists he will retain faith in his regular No. 1.
"I believe that Joe will shrug this off," the Three Lions boss told reporters. "I'm sure he's not happy with the criticism, I'm sure he's not happy to let in goals he feels he could have stopped.
"As far as I'm concerned, he's never let me or the team down in the time I've worked with him so I have every confidence, every faith in him that he will put it behind him.
"He kept clean sheets against Ukraine and Moldova, so it will take more than one bad game from any player for me to start suggesting that he should be replaced by anyone else."