Gordon Banks is best known for a wonder save he produced to deny Brazilian great Pele in the 1970 World Cup.
The fee for the 26-year-old winger, the son of former Manchester United and England midfielder Paul Ince, could rise to 12 million Pounds.
After a decade in the top flight Stoke City were relegated from the Premier League after a 1-2 defeat to Crystal Palace
Christan Eriksen's wonder strike levelled in first-half stoppage time, before Alli took centre stage to end a barren run by his standards with two smart finishes just after the hour mark.
It took just nine minutes for Manchester City to carve open a Stoke side that is looking increasingly certain to suffer relegation this season.
Manchester United took time off from their pursuit of Arsenal forward Alexis Sanchez to coast to a comfortable 3-0 victory against Stoke at Old Trafford on Monday.
The club face Manchester United at Old Trafford in the Premier League on Monday.
Manchester City boss Pep Guardiola named a strong team including Sergio Aguero, Leroy Sane and Raheem Sterling at Eastlands.
Chelsea rested the likes of Eden Hazard and Cesc Fabregas for the Premier League match against Stoke City.
Though Harry Kane scored twice, Son was the star of the show, scoring one goal and having a say in four others