Antonio Conte’s men had the chance to go 12 points clear at the summit of the standings at Turf Moor, but saw a superb Robbie Brady free kick cancel out Pedro’s early goal to end the clash 1-1.
The result means Chelsea sit 10 points clear of Tottenham and Arsenal, although Manchester City can go within eight points of the Blues should they beat Bournemouth tonight.
Courtois concedes there are many “tough” games yet to play, but insists Chelsea are not worried about their Premier League rivals’ results – only their own.
“We just take it game by game and we don’t look at who is behind us,” the Belgian said.
“We just try to win our games and we will see. The Premier League is very hard with away games against teams like Burnley.
“We still have to go to West Ham and Stoke, they’re always hard, but we have to work like we have been doing for the past months and we will be fine.”
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Looking back at the draw against Burnley, Courtois admitted the cold conditions at Turf Moor played a part in the Blues being unable to unlock the home side’s defence once they got the all-important equaliser.
“Before we came here the manager pointed out they’d picked up 28 points at home, a lot of teams have dropped points against them,” he said.
“If we could have got the victory it would have been very nice but in the winter it gets harder with the pitches not being in the best conditions to play.
“We did our best to win but, unfortunately, Burnley played well so we have to be happy with the point.”