Allardyce wants at least four points to keep their bid for survival on track.
The Black Cats are currently one point adrift from safety and face a trip to West Ham United before a home clash with Crystal Palace and a trip to an in-form Southampton side.
Allardyce is quoted in the Chronicle, saying: “It could be a very big week, because we have got three games in eight days.
“If we go and win two out of three, that would be magnificent.
“If we go undefeated - say, win one and draw two - that would be fine.
“But we need four points, at least.
“We have to get more points than [we play] games because that way we catch up a little bit."
Sunderland had a pretty good run prior to the break for FA Cup games. Allardyce saw his side pick up four point from their last two games against Liverpool and Manchester United, as well as an encouraging performance in a narrow defeat to Manchester City prior to that.
The home game against Palace feels like a must win for Sunderland, while Allardyce will be determined to get something from his former club when he takes his side to the Boleyn Ground tomorrow lunchtime.
Palace's league form hasn't been marvellous of late having not won in their last nine, and their main focus now seems to be the FA Cup having reached the quarter-finals of that competition.
The trip to Southampton looks as if it could be a difficult one for Allardyce's side, as they face a side that hasn't conceded a goal in each of their last six Premier League games, and given Sunderland have only kept three clean sheets all season, there will have to be a lot of work to be done to get anything from St Mary's on current form.
In the meantime, Sunderland are likely to keep an eye on the results of relegation rivals Newcastle United and Norwich City immediately ahead of them.