Allardyce has stated that his Sunderland side will need to win four of their remaining eight matches if they are to feel assured of Premier League survival.
And Defoe believes that his teammates have the capabilities to win half of their remaining fixtures.
“In these next eight games, the manager said we need four wins and that is doable the way we are playing," the veteran forward said.
“We need to take each game as it comes and focus on that.
“Five home games, which is important, and we need to try and win all our home games."
Sunderland have a winnable run of matches coming, with the Wearsiders still yet to face the likes of West Bromwich Albion, Norwich City, Everton and Watford.
The Black Cats do have daunting tests against Leicester City and Arsenal on the horizon, but they have shown signs of improvements recently.
Sunderland have lost just one of their last six matches, and taken seven points in the process.
Allardyce’s men remain in trouble, however, and they are currently stuck in 18th place in the Premier League table.
The Black Cats’ next match comes against West Brom at the Stadium of Light on Saturday.