According the Daily Mail, FA chairman David Bernstein insists that Capello will see out his six million pound-a-year contract, but other senior figures want a new man in place for next summer's European Championship finals in Poland and Ukraine.
Capello had earlier survived England's 2010 World Cup disaster, as it would have cost £11 million to sack him.
"It is on the agenda that Capello will be replaced before Euro 2012 and someone like Harry Redknapp [ Images ] will come in. People are all over the idea," the newspaper quoted a source, as saying.
"Capello did not handle tournament football at all well in South Africa [ Images ]. The camp was a disaster and the players were unhappy. You could smell that a mile off."
"Nothing must compromise England's game in Montenegro (England require a point from the October 7 game to qualify for Euro 2012). But once England are safely qualified and Christmas and the New Year arrive, a change could be made," the source added.