Rovers made it seven points from the last three games following Saturday's goalless draw at West Ham.
Allardyce, though, knows it should have been another victory. He believes with a more ruthless streak in front of goal, Rovers can go places this season.
"You have to accept you have to make more chances to score goals than the big boys because you haven't got as clinical finishers as them," he said.
"We haven't got the Rooneys or the Berbatovs or the Tevezs to score the amount of goals they score.
"When they get two chances, they score once whereas our players maybe need three or four chances to score a goal because we are at the lower end of the market in terms of the players that you buy and nurse them through to get the best out of them. But next time round hopefully they will score and we will win the game."