Green has come in for plenty of criticism following his high-profile error against the United States in England's opening game of the World Cup.
Upson, though, refused to lay the blame on his team-mate.
"It was a difficult ball for Rob to hold. We have seen Drogba take those kicks many times - he gets top spin onto the ball," said Upson.
"That is what we defenders are there for, to deal with it - we got back there, but then it was just one of those things.
"I could have still dealt with the ball - I got there first because I thought there was pressure on me and the clearance hit their player, speeded up in the air and went into the net.
"When it is going bad for you, that is what happens."
Upson maintains Green will take the incident in his stride.
"Rob is a strong character. He will continue to work hard," said the defender.
"I am sure he will want to put Saturday behind him and turn on the kind of performances we have seen from him over the last three years."