Football Association board member David Sheepshanks has indicated that he would like Fabio Capello to stay on as England boss.
The former Ipswich Town chairman told BBC Radio Suffolk that Capello was "one of the world's best managers" and that "knee-jerk reactions never work."
His comments follow an expression of support for the Italian from fellow FA board member Phil Gartside.
The FA are reviewing Capello's position after England's World Cup debacle.
"There are some very, very able and wise people around the FA board table and I have absolute confidence that they will come up with the right decision," added Sheepshanks.
"Let's get this right. Fabio is tremendously able - one of the world's best managers - and a month ago I don't think you'd have heard many people disagree with that. He doesn't become a bad manager overnight."
Capello's tactics and team selections in South Africa attracted criticism and England's 4-1 loss to Germany, which sent them crashing out of the tournament, was their heaviest World Cup defeat ever.
But the 64-year-old, who earns a reported £6m a year, has indicated his desire to stay on and oversee England's challenge for the 2012 European Championship.
His fate will be decided by Club England chairman Sir David Richards and managing director Adrian Bevington, whose decision will need to be rubber-stamped by the full FA board, which next meets on 15 July.
Bolton Wanderers chairman Gartside told BBC Sports News: "We've got the best man for the job."
He also said he had spoken to two other members of the FA's 11-strong board who also backed Capello.
There is a crisis and it has to involve all the stakeholders
Players' chief Gordon Taylor
Gordon Taylor, chief executive of the Professional Footballers' Association and a member of the FA's international committee, has called for a "committee of inquiry" to be set up to look at the crisis in English football.
He says the FA's decision to remove the break clause in Capello's contract just before the World Cup means they will end up looking ridiculous if they now terminate his contract, which runs until 2012.
"If they sack him they will be left with egg on their face," he said.
"It seems ridiculous to do this contract negotiation just before the World Cup and then to now be talking about sacking him.
"The Capello question is not the nettle we should be grasping. Fabio has been brought in to deal with the top of the pyramid, it's the base up to the top that needs attention.
"We need a committee of inquiry with all segments of English football taking responsibility - and acting on the recommendations when they are made.
"There is a crisis and it has to involve all the stakeholders."
The England team arrived back at Heathrow airport on Tuesday after a disappointing campaign in which they drew with the United States and Algeria, struggled to beat Slovenia 1-0 before being thrashed by the Germans.
But Gartside insisted: "It's not his fault. He's done a good job, he needs to get on with it. I hope he stays and I think he will stay.
"It's not about the money. We have to be strong. It's not the fans who have an issue, it's the press."
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