Gerrard came within touching distance of winning the Premier League for the first time this season, but his high-profile slip gifted Demba Ba a goal in Chelsea's crucial win over Liverpool to hand the initiative back to Manchester City who went on to claim the championship.
Gerrard's mistake has been seized upon by rival fans, but Rodgers insists the England captain has the mental resolve to recover from the disappointment and is confident he will lead England with pride in Brazil.
"I've no concerns whatsoever about Steven," Rodgers said. "I think Steven will go away and when he reflects on what has been personally a brilliant season of football, he has been very unfairly pointed out in terms of his slip.
"It could have happened in the third game it could have happened in the fourth game but it certainly wasn't anywhere near the defining moment of our season. That wasn't what cost us the league. It was more games when we won the games.
"When we won 5-3 at Stoke, when we won 6-3 at Cardiff, when we won 4-3 at home and conceded three. It was those games, not Steven's slip or Kolo's misplaced pass.
"He is a very conscientious boy and he loves Liverpool. He is very hard on himself and he's his own worst critic but he comes away recognising that he has been involved in a real title run in and next season he will be better for it.
"He will take that confidence into a World Cup. I always say to players 'when you go to England don't think of Liverpool - think about your country and the team you are playing for.'
"One of his qualities is that he can do that. He is a model professional at that, he is very proud to play for England and captain his country and I am sure he will go and do the country proud again."