Allardyce, 65, has been out of management since 2018, when he left Everton as the Toffees turned to Silva.
“The thing is with Everton, even before me, it was a massive struggle to win away from home for whatever mental reason for the players. It's gone on for ages, and it's still the same now.
“I went in in November and I remember winning at Newcastle and that was the club's first away win since January.
“Our home record, I think I only lost to Man City and Man United. So I was giving the home fans what they want but they didn't see that as enough because we didn't have enough goals.
“Now they're trying to play more of this rubbish that goes around the world of football, this fake news of so-called 'open attractive football'.
“It's not 'open attractive football' if you're fourth from bottom of the league with 11 points. Everton fans won't put up with that.
“Of course, the bigger pressure on any Everton manager is if you spend that much money they expect you to be in the top six, not the bottom six.
“It looked like Marco had found a good way of playing by winning games and keeping clean sheets at the back end of last year, but that has deserted them. They are conceding far too many goals far too easily.
“If he doesn't win against Southampton and Norwich, the fans will heap a whole load of pressure on the board. They will show their discontent if they are not seeing what they've paid to watch."