The defender has been linked with a move to Stamford Bridge, but Redknapp isn't keen on the idea.
Everton and Roberto Martinez are thought to be less than keen on parting with their star man, regardless of the price on offer, although a big fee can, of course, always tempt teams into a sale.
Redknapp, though, says he would warn the 21-year-old against a summer switch.
“If I was advising John Stones I’d tell him to stay at Everton rather than move to Chelsea,” the former Tottenham Hotspur and Queens Park Rangers boss wrote on Kicca.
“He’s a good young player and has a bright future, but look at the Chelsea defence - John Terry is going to play another season, Gary Cahill will mostly likely play alongside him and Branislav Ivanovic is a monster at right-back and you’re not going to get him out of the side.”
First team football key for Stones
The youngster has proved to be an inspired signing for the Blues, having joined for a nominal fee from Barnsley under former boss David Moyes in January 2013.
It is under Roberto Martinez that he has enjoyed an impressive rise to prominence, though, with the Spaniard having shown great faith in the 21-year-old and seen him benefit hugely from first-team football in the heart of the Everton defence.
As far as Redknapp is concerned, he needs to be playing regularly, and he’ll get that at Goodison Park, with the vastly-experienced coach expecting the Toffees to enjoy a better season in 2015/16 than they did last year.
“Stones needs to be playing regularly and at Everton he’ll get that,” he added.
“England also need him to be playing as often as possible and Everton are a good, big club with a good manager. They may have had a disappointing campaign last season but they’ll do better this year.”