Allardyce took charge at the Stadium of Light back in October, and he initially wanted to guide the side well away from the relegation zone.
Even though Sunderland only had three points from their first eight games, the 61-year-old manager felt he would be capable of guiding the Wearsiders well clear of the drop zone.
That has not proven to be the case, with Sunderland currently sitting in 17th place in the Premier League table.
And Allardyce admits that things haven’t gone as well as he had hoped so far.
“My initial thought was to strive to aim higher than just getting out of the relegation zone,” the former West Ham United manager said. “We’ve failed in that exercise, and had we had a system where we could have traded sooner I would have done so.”
Sunderland only made it out of the bottom three yesterday evening, when they managed to collect a point against Crystal Palace.
The Black Cats drew 2-2 with Alan Pardew’s side to leapfrog Norwich City and move into 17th place.
Sunderland have now collected five points from their last five matches, and they have shown huge improvements in recent weeks.
Allardyce’s side’s next match comes against Southampton on Saturday.