Ivanovic insisted it was far too early for Chelsea to be thinking about regaining the title they last won in 2010.
"We have the next game as a very great challenge for us in the Premier League - Arsenal away," he said. "This is the first actual big game for us this season."
The 28-year-old added: "Our performances and quality - we know how it is.
"But we have to show everyone, and we have to show it every game.
"This is the biggest challenge. I think Arsenal will be a great challenge for us, and we have to really be ready for that."