Sean Dyche's side lost their seven-match winning streak in the league at Millwall but would have been delighted just to come away with a point.
An upset looked to be on the cards after Scott McDonald and Danny Shittu had given the hosts an unlikely two-goal lead.
Returning to the scene of their play-off semi-final disappointment last season, Chris Wood, Anthony Knockaert and Lloyd Dyer scored for Nigel Pearson's side to set up a superb victory.
Jermaine Jenas had given Harry Redknapp's side the lead after 11 minutes, only for Tottenham loanee Simon Dawkins to level proceedings.
Blackpool created some breathing space in fourth place with a 1-0 win at Nottingham Forest, which came thanks to Stephen Dobbie's injury-time winner, while struggling Sheffield Wednesday caused the upset of the day with a 5-2 hammering of fifth-placed Reading.
Wednesday – who entered the game without a victory all season – turned on the style as a double from Matt Fryatt sank Nigel Adkins' side.
Miguel Antonio and Sunderland loanee Connor Wickham also scored for Wednesday, who benefited from a Sean Morrison own goal during the first half, as Pavel Pogrebnyak and Adam Le Fondre's efforts for the losers meant little.
Wednesday's win meant Yeovil Town dropped to the bottom of the table after they lost 2-0 to Leeds United at Elland Road.
Birmingham City dropped into the bottom three after a 1-0 home loss to Charlton Athletic, while Doncaster's struggles continued as they were beaten 3-1 at home by Brighton and Hove Albion.
