Football Association chairman Greg Dyke believes that it will be "a mistake" should Sepp Blatter be appointed as FIFA president for a fifth term.
The 78-year-old, who has been in charge of football's world governing body since 1998, revealed last week that he will stand for re-election in 2015.
UEFA chief Michel Platini recently announced that he will not run against Blatter for the top job, although Jerome Champagne will stand for the position.
Dyke now insists that Blatter should step aside and allow fresh blood to take over.
"I think he'll probably win. He's not doing the right thing," BBC Sport quotes the 67-year-old as saying. "Sometimes in this world you have to let younger men have their time and I think seeing old men standing at the age of 78 for another four years is a mistake."
David Gill was also critical of Blatter's presidency in the wake of fresh corruption allegations at FIFA earlier this year.