Sterling, 19, is set to be deployed on the wing for England at the 2014 World Cup, for their Group D campaign against Costa Rica, Italy and Uruguay.
The Liverpool starlet has the hopes of a nation resting on his shoulders, after a brilliant Premier League campaign at Anfield.
Barnes, 50, who played at the 1986 and 1990 World Cups for England, said their fans should not overburden the teenager.
"I still don't want to put so much pressure on him now that he has shown so much quality in the last few months of the season," Barnes said.
The former Watford and Reds man Barnes conceded while he and Sterling both shared a birth nation - Jamaica - there was little else in common.
Barnes said Sterling has also proven himself to be a reliable performer, despite his youth.
"Maybe he is going to be inconsistent because he is young," he said.
"But in terms of what he did in the last few months of the season, he was probably the best player in England.
"Not the best English player; the best player in England, the best attacking player in England."
Get the best features, fun and footballing frolics straight to your inbox every week.
Thank you for signing up to Four Four Two. You will receive a verification email shortly.
There was a problem. Please refresh the page and try again.