Howe has been under increased scrutiny this season, with Newcastle sitting down in 13th with just three Premier League games remaining.
Qualification for next season’s Champions League is all but impossible, but Newcastle are just five points off seventh, which would secure a Conference League spot.
Speaking to BBC Sport Final Score after the game, Burn, who scored Newcastle’s second goal against Champions League chasing Brighton, dedicated their win to Howe.
"We needed that, we have picked up some not great results lately. the win was important. It wasn't the greatest performance, let them back in second half, but it's great to get three points,” he said.
"A lot of the responsibility (for this season) falls on us players. The gaffer has taken a lot of stick, so that was for him today. Three games left anything can happen. We are well outside European places but we will give it a good push
"Changing to a back five helped, we were struggling with a back four, they we rotating positions well and we struggled to get up the pitch. Fair play to the gaffer for switching to a back five, we started catching them on the break. I was a good performance.
"The amount of games you have, you don't have time to train. We are a team that likes to be out on the training pitch. The top teams are good at constantly going, so that is something we need to work on if we get European football next season or season after.
"I can understand the frustration, we have been on such an upward trajectory in recent seasons and we have taken a bit of a dip. We are looking to finish the season strong."