Rovers made it seven points from the last three games following yesterday's goalless draw at West Ham.

Allardyce, though, knows it should have been another victory.

Midfielder Morten Gamst Pedersen saw his 25-yard free-kick come back off the crossbar just before the break, with Rovers stepping up the pressure following the restart.

England keeper Robert Green pulled off a brilliant save to deny Martin Olsson and Rovers looked to have a decent penalty shout when Mark Noble appeared to handle a shot from Gael Givet before it was cleared off the line.

The telling moment, though, came with 15 minutes left when substitute Jason Roberts shrugged off James Tomkins to burst into the box, only to fire too close to Green from 12 yards out.

Allardyce 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.

"That is why you end up finishing in a mid-table position rather than a higher position and if you don't score enough of the chances you get you end up in the bottom half."

Allardyce continued: "We have been clawing our way out of the bottom end; if you see what a win would have given us, with another two points, we would have had people talking about we might even get up into the Europa League now."

Blackburn are set to sell striker Benni McCarthy to the Hammers, who are battling to stay up.

While Allardyce may have been less than impressed by the way the veteran South African missed training in an effort to force through the move, the Rovers boss feels McCarthy can still do a job in the Premier League.

"He is a hugely talented player that can play well and play his best football in the final third," said Allardyce.

"However, Benni is not getting any younger so when you're not getting any younger the legs are not quite as good, but the talent is still there.

"If you can get other players around him to do the work load then he will use the talents to get you chances and score you goals.

"I think based, on his career, he will be really, really good when he comes to the club because he generally is the best he is when he first goes to any new club."