Albert Adomah put Bristol City in front on 35 minutes but Burnley hit back through second-half goals from Jason Shackell, Chris McCann and Martin Paterson. City's misery was compounded when Steven Davies saw his penalty saved when the score was 2-1.
Goalscorer Adomah appeared for the press conference and still believes survival is possible.
"I scored a goal and won a penalty for the team and if that had gone in the result could have been different and we might have come away with a point," he said.
"We always back Steven to put them away but it just didn't happen for him because the keeper made a great save.
"If we had won then we could have kept up with the teams above us but it is not over yet and we have to stay positive because we still have five games to keep ourselves in this division.
"Everyone is trying to gee each other up and that encouragement is important because when we are down we don't want to be knocked again.
"We can still survive but we have been fighting ever since I came here and I try and do my best whenever I get onto the pitch.
"You can't dwell on things you just have to move on and hopefully we can do that as a team."
- Sports & Recreation
- Albert Adomah
- Steven Davies
- Jason Shackell
- Martin Paterson