Mark Noble’s first-half penalty, which saw Michael Duff sent off for a foul on Cheikhou Kouyate, left the Clarets bottom of the table – eight points from safety with just three games to go.
Jones admits Burnley’s hopes of survival look slim but says the team will not give up and must take it one game at a time, starting with next Saturday’s trip to Hull City.
“We’re running out of games, there are only three games remaining and we’ve just got to keep sticking at it and try and find a winning formula and we can’t really worry about anyone else,” Jones told Sky Sports.
“We need to try and turn in some decent performances to try and get that little extra something that gets you wins in this league.
“It’s going to be difficult but we’ve got to do it. I still feel we’ve got enough to affect games and get results.
“We’ll be going to Hull and giving it our all. That’s all we can do. We’re still fighting and we’ve got three games left to fight in.”
Goalkeeper Tom Heaton insisted all hope is not lost and said the team are determined to beat Hull in order to keep their survival hopes alive.
“Three games left and we’re in a tough position but it’s certainly not impossible at the minute so we won’t lose hope,” Heaton said.
“We’ll certainly go into these next three games and give everything we’ve got and that’s all we can do.
“Hull is another big game for us and we’ll be focused on going there and doing everything we can to get the three points.”