"I think he needs to be challenging for Ballon d'Ors. I think he needs to be challenging for Champions Leagues and if Spurs are always going to be that 'nearly' team, eventually he will want to leave and join a Real Madrid or Barcelona."
Neville also feels Kane's situation is similar to Lewandowski's case when the Polish forward decided to leave Dortmund and join Bayern Munich in 2014.
"I think when he went to Bayern Munich and proved for one of the biggest clubs in world football, people started to then think 'Lewandowski is world class'.
"I was at Manchester United at the time when we were scouting players at Borussia Dortmund like Kagawa, like Reus, Lewandowski was there and there was always that doubt. And there'll always be a doubt, probably, about Harry Kane until he gets to that level."
Following his traditional August goal drought, Kane has found his scoring boots again netting six goals in his last eight appearances for club and country.