Allardyce himself never endeared himself to fans at former club West Ham United for his defensive approach and under him, Sunderland have managed three clean sheet in their last four games to crawl out of the Premier League relegation zone for the first time since early March.
"It's an art, defending - everybody has forgotten that. It's a tactical art to be able to sense danger and block people's crosses and get your toe in without fouling them now," Allardyce told British media.
"The whole team buys into it. That's how good the manager is and that's why they are successful. They are successful because they concede fewer goals than everybody else and only need one to win.
"Now, everybody can say 'well, that's not entertaining', but everybody is eulogising Simeone's tactics now. I wouldn't think they would do that in the Premier League so much."
With just four games left, Sunderland, who are 17th in the Premier League, will look to take a step closer to top-flight safety in their away match with 10th-placed Stoke City on Saturday.
(Reporting by Shravanth Vijayakumar in Bengaluru; editing by Amlan Chakraborty)
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