Jose Mourinho's men have now won four on the trot in the league and Cech is eager to keep that run going.
"The most important thing is that we keep winning games and winning trophies," he told BT Sport.
"We want to win the league if we can and hopefully clean sheets will help us achieve our targets. Now we're top of the league for the first time in a long time and hopefully we can stay there.
"We hope to keep going. We are getting better and today was a very difficult game. But we were very solid and good in attack and that's why we score goals.
"We are a young team and hopefully we can take advantage of that."
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