Hull have so far this season beaten the other four London sides in the Premier League, including away to Arsenal at the Emirates.
Geovanni said: “Scolari is a top coach and I do not doubt he will be a success at Chelsea, but I feel sorry for him because we are going to beat his team.
“Chelsea will be next after Arsenal. The Blues have a tremendous squad but they just lost to Liverpool, which is a blow for their morale, so let’s take advantage of it.
“Hull’s bright start to the season is not about luck but rather about hard work. Big clubs should be wary, we are going to continue to surprise them.
“When I arrived at Hull everyone was asking me how we could possibly stay up. Everyone said we were clear favourites for relegation.
“The key for us has been our dressing room. The atmosphere is sensational. We’re all friends.
“Anywhere we go, even when we went to Arsenal at the Emirates, we play with three up front. But we also have many English players and when we have to defend we all honour the club’s badge — the Tiger.
“Our squad is the example of how players and their coach should work hand in hand. The sky is the limit for us and we target European qualification.”
