Antonio Conte’s men ground out a 1-0 win over Sunderland last night to make it 10 on the trot for the table-topping Blues.
It took a last-gasp save from Thibaut Courtois to keep the Black Cats out, but Cahill thinks that was the least he and his team-mates deserved for a battling performance.
Chelsea are six points clear at the top heading towards Christmas and have let in just two goals in the last 10 matches.
“We are not letting goals in”
Cahill said: “You knock those stats out and at this moment in time, it’s difficult to criticise that.
“At this moment in time, we are going well. But football goes week by week, month by month.
“We want to keep this going and continue the good spirit that’s in our camp at the minute. That’s the most important thing for us.
“We are not letting goals in. Thibaut pulled off two vital saves for us so he showed his worth.
“Although I didn’t think he had loads to do, that’s what top keepers do. A couple of key moments and he produced.
“We owed him late on for that, but defensively we are making blocks, we are putting our heads in the way, clearing the ball and letting the lads go forward and create, which they did on numerous occasions.”