The 22-year-old Everton man is linked with a move to Manchester City.
According to The Mail, the 22-year-old centre-half is heavily linked with a £50 million move to Manchester City, managed by former Barcelona coach Pep Guardiola.
At Camp Nou, Guardiola won two Champions League titles with a ball-playing figure like Pique in the heart of central defence.
And Lambert has suggested that Stones could be City's equivalent of the Spain international under Guardiola, if the deal goes through.
"If you look at the lad Stones at Everton, and you look at Gerard Pique, [they're] really similar footballers," the Scot told BBC Sport. "Okay Pique's got the CV and all the medals and trophies, but I can see Pep Guardiola looking at Stones and saying 'they're really quite similar."
Everton fans will have watched Stones every week for over a year, and the Toffees faithful might feel that the England international has a long way to go before he reaches Pique's level.
He might have the potential and although reaching it is another matter, surely a manager of Guardiola's vintage can help mould Stones into a Pique-type figure in the future.
Everton kick off their Premier League season with the visit of Spurs in less than two weeks time, and it remains to be seen whether Stones is in the XI.