Sunderland's Fabio Borini scored a goal of the season contender in his side's last match.
The Black Cats were reliant on a screamer from Fabio Borini to rescue a point in a 2-2 draw against Crystal Palace in midweek.
And Allardyce admits that scoring from half-chances if something that his team need to start doing more regularly.
“At least Dame got his first goal to get him underway. We’ve got to try to score more goals. We had to rely on a wonder goal from Fabio Borini, which we want to see more of.
“We need more goals of that quality in the final third, because it’s something we’re lacking in.”
Borini’s goal against Palace will surely be a contender for goal of the season, considering the angle that it was struck from.
The Italian appeared to have little on, when he was played through on the corner of the box, but with a quick swivel he created room for a shot, and it snuck into the far corner.
The goal sparked wild celebrations at the Stadium of Light, and it has lifted Allardyce’s side out of the relegation zone.
Sunderland are now in 17th place in the Premier League table, with their next match coming against Southampton.
The Saints lost their last match to Bournemouth, and if Allardyce's men can pick up the three points they may be able to put some clear daylight between themselves and the drop zone.