The Black Cats have put in some excellent performances since the turn of the year, but they have not picked up the points that they have deserved.
Sunderland have failed to put matches to bed on a regular basis, and Allardyce is becoming frustrated with his side’s lack of victories.
"When we have drawn games we should win them, that is becoming a problem because it has gone on so long,” Allardyce said.
"Hopefully, sooner rather than later, it will turn in our favour.”
Allardyce’s comments came after watching his Sunderland team draw 0-0 with West Bromwich Albion last weekend.
The Black Cats created plenty of chances against Tony Pulis’ men, but they were unable to beat an inspired Ben Foster in the Baggies’ net.
The point has done little for Sunderland’s chances of survival, with the Wearsiders now sitting four points adrift of safety.
The Black Cats have just seven games remaining to climb out of trouble, with their next fixture coming against Leicester City.