The 33-year-old manager has impressed the Blues board since arriving from Porto in the summer, and the executive would love him to stay at Stamford Bridge for the long-term
Buck says he is envious of rival clubs’ long-serving managers, but feels the 33-year-old’s youth could be a factor in keeping him at Stamford Bridge for a long time to come.
“We do envy Arsene Wenger at Arsenal and Sir Alex Ferguson at Manchester United in terms of longevity, but it shouldn't be longevity for longevity's sake,” he told BBC Sport.
“It has to be the right guy in the job for 10 or 15 years and, in light of Andre's age, he may well be that guy.
“Everyone thinks his age might have been a negative but it's a positive.
“He has really been able to relate to the players. He is a very organised guy who really understands football.”
Ferguson will celebrate 25 years in charge at Old Trafford in November, while, in the 15 years that Wenger has been in his post at Arsenal, Chelsea have employed nine managers.
Buck also revealed that the Blues are aiming to save money on transfer fees by focusing on developing their youth academy output.
“The problem has been transfer fees paid to other clubs for new players and that's probably our biggest expense,” the chairman added.
“The way we've tried to attack that, not as successfully as we'd have liked to be honest, is by putting a lot of money into the academy.
“The maths is pretty simple. If you can bring a player or two through the academy, every couple of years, then you're saving £10 million, £20m, £30m of transfer fees.”
English midfielder Josh McEachran is among the young stars looking to be given opportunities after graduating from the academy.
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