Grafite is hoping the Brazil squad do not suffer the same injury problems which have hit their World Cup rivals.
Ahead of the tournament's opening game next Friday, several star names have already been ruled out of the finals, while others are in danger of missing the tournament.
Germany captain Michael Ballack is out with an ankle injury and England skipper Rio Ferdinand was forced out of the World Cup on Friday due to a knee injury.
Ivory Coast star Didier Drogba and Holland winger Arjen Robben are struggling to be fit for the competition and Grafite admits Brazil are having to be careful in training.
"We're following what's happening," said Grafite. "It's tough, you have to be careful in training.
"As the majority of players are at the end of the season, we don't go in so hard so as not to injure (someone).
"No-one wants to miss the World Cup and when we see top players being left out, we touch wood not to be left out in that way."
Brazil face Ivory Coast in the group phase and full-back Maicon concedes the injuries could work in the five-time winners' favour.
Maicon said: "To face a team like England or Ivory Coast without those players for us would be much better."