The Clarets went two-goals ahead thanks to Brian Easton and Jay Rodriguez, but goals from Max Gradel, Luciano Becchio and a Jonny Howson screamer completed a stunning turnaround for Grayson's men.
The win extends their unbeaten run to eight matches but Grayson is not getting carried away by his charges' success.
He said: "It's hard not to see the table but there are far too many games to be involved in yet. We have got players that are adapting to the division and a fan base that demand the best from the team.
"Over the next months we will see where that takes us. I'd rather have the expectancy we have at our club then teams that are happy half way down the division. We are new to the division but when we have five thousand fans the players have got to earn the right to play and give performances.
"But you would rather play in front of them than in the lower leagues and not testing yourselves - and the players are doing that."
Source: PA