Arsenal boss Arsene Wenger insists Chelsea are still favourites to be crowned champions at the end of the season.
Aaron Ramsey's first-half goal was enough for the Gunners to beat Burnley and move closer to leaders Chelsea but Jose Mourinho's men have two games in hand.
The two teams will clash at the Emirates at the end of the month.
"It was a battling performance more than a fluid performance, and that was because Burnley are perfectly organised and very fit to keep their shape for the full 90 minutes," Wenger is quoted as saying by the BBC.
"They [Burnley] made life very difficult for us.
"The first goal was vital and we were a little bit in between: do we go for another or try to keep it tight. That is not always the best place to be.
"When you have not scored the second goal you are always under threat, but I thought we did enough to deserve to win the game.
"I don't think that our game against Chelsea will decide the Premier League title, they have two games in hand, but we have to just to keep going.
"We have promised ourselves to do as well as we can until the end and then we will see where we stand."
