“From my own point of view, I'm proud of the fact that wherever I've been I've always left the club better off than when I took over,” Allardyce told The Daily Mail.
“So my ultimate goal would be to, in the end, try and emulate what Peter Reid did here, my old mate. I want to try and be as good as he was.”
Reid was in charge of Sunderland from 1995 to 2002 and guided the Black Cats to back-to-back top-half finishes in the Premier League.
It will not be easy for Allardyce to achieve that feat anytime soon, especially this season.
Sunderland are struggling for survival at the moment and are in real danger of getting relegated to the Championship at the end of the 2015-16 campaign.
True, the Black Cats have won their last two league matches, but they are currently just two points above the bottom three in 17th.
Allardyce does not have a great squad at his disposal either, and this season is all about staying up in the top flight of English football.
Perhaps the 2016-17 campaign will be better. If Sunderland retain their Premier League status and sign some good players in the summer transfer window, then they could be challenging for a top-10 finish.