Allardyce was in charge of Newcastle in 2007-08 and was the manager of West Ham from 2011 until 2015.
The former Crystal Palace manager, who has managed the likes of Sunderland and Blackburn Rovers as well in the Premier League, was appointed the Everton boss in November 2017.
“Every clubs’ fans have a lot of passion but like I said at the time the history of Everton is far greater than that of Newcastle and West Ham,” Allardyce told The Guardian.
“Every fan has great demands and, when there are big crowds, the demands are bigger. For me Everton is completely different from Newcastle or West Ham but it was just a comparison, it wasn’t anything other than that.”
Everton are a big club in England, and although the Merseyside outfit are struggling for survival in the Premier League at the moment, their history cannot be undermined.
The Toffees have lofty ambition, and perhaps in the coming years they could genuinely challenge for the Champions League places in the Premier League.