Rovers won the game 3-2 and it could have been more had they taken their chances that came along.
But things started badly when Blake gave the Dingles the lead early on. Rovers though, never lost spirit and were soon on level terms with a fantastic strike from David Dunn.
Franco di Santo then made a mockery of their goalkeeper’s diving antics and headed Rovers in front before Pascal Chimbonda ensured the win even though they pulled a goal back in injury time.
"To score against Burnley was great but more important than that was to get the three points," said Allardyce.
"Our next couple of games are really difficult so it's great to get 10 points before we play those matches.
"But you could see by the reaction of the fans at the end how much this meant."
David Dunn was singled out for some special praise:
"The first thing we had to do was to secure a fit David Dunn so he could be selected regularly," he continued.
"Then he had to work out what he had to do on his own when everyone else had disappeared from the training ground.
"We have also found him a position that suits, playing just off the front man and he is playing better than he has for a long time.
"He is not only our leading scorer but he is providing others the opportunity to get goals. He is doing a terrific job.
"Dunny can change games and put us back in contention against Burnley very early.
"That was important from our point of view. It wasn't an easy finish from him but he made it look easy."