"I think a good support for us for these two games was to play at home," Blues boss Carlo Ancelotti said.
"Now we have to check also away in the next game against Bolton."
The performance was still some way below the level Chelsea were showing at the start of the season, when they threatened to sweep all before them, but it was another step in the right direction.
Ancelotti added: "We are not at the same level but we will come back to play at the same level.
"We don't need to have a lot of time to come back.
"It will be very important the next game against Bolton because we can say definitely that the moment is gone.
"If the moment is gone, I think that we will be stronger."