Frank Lampard scored the winning goal as the Blues edged the Premier League encounter at Stamford Bridge and, with Andre Villas-Boas' side having only kept one clean sheet throughout December, Cech was encouraged by a second shut-out in seven days.
"You need 1-0 [wins] to have a lot of points," he told Chelsea TV.
"Usually, as many games you win 1-0 you have more chance to win things. We now have two clean-sheets in a row, three very good victories in the New Year and hopefully it will continue this way.
"It was very important because we won 1-0 and when you score one goal and you don’t concede you have three points every time and that’s a big advantage.
"As soon as you score you think the game might be over and might get three points but if you score a second goal – this season it hasn’t been the case. We surrendered a 1-0 win may times and even lost some points, like against Aston Villa.
"So it was unusual for us but that is the way it was a little bit this season and we are working to improve all the time and now we have two clean-sheets in a row, which is very good, and hopefully we will add some [more]."
How do you stay up to date with football when on the move? With http://m.goal.com – your best source for mobile coverage of the beautiful game.