"I think that we have started the season very well," said Mancini. "We knew that this week would be hard because we play Villa, Villarreal and after that we have the derby, and I think our minds are very busy.
"We have played only eight games, there are still another 30. We should be happy to go to Old Trafford on the top, but we should understand that the championship will be long and this position will change every week.
"We will fight until the end for the title. We have started very well, we have won a lot of games, but we need to improve more."
The Blues next host Villarreal in the Champions League on Tuesday, before they visit Old Trafford to take on Manchester United five days later.