Carragher insists sharing the spoils with the United States in their opening clash last night in Rustenburg was "not a disaster."
When asked if the players were now feeling under pressure, Carragher said: "The lads play for top clubs in top competitions and it's always pressure playing for your club and playing for England.
"I don't think we are at that stage yet. If the next result doesn't go for us, then for the last game there will be a bit more pressure.
"A draw is not a disaster in your first game. Obviously you want to win it but it is very important not to lose as well.
"We would have liked to have got the three points but the first game in tournament football is always very difficult.
"It has proved that in the past and it has proved it again. There are still two more games to go.
"It was not a one-off game. It is the group stages and the aim is to get through in the top two."