Speaking on The Lockdown Tactics podcast, Rose said: "I would have first trained with him under Harry [Redknapp].
"He's exactly the same as he was then in terms of training and staying out after training, practising penalties, free-kicks, extra finishing with his left and right foot.
"He was doing that back then as a 17-year-old. If I hadn't seen Harry Kane and hadn't had the chance to watch him from a young age and seeing that he's put in the work to be who he is today.
"He eventually got his chance under Tim [Sherwood] but even before then he was getting ridiculous in training and everyone was thinking he has to play.
"At the time we had [Roberto] Soldado from Valencia, a £30million signing, a lot of money back then for Spurs. In the end though Harry had to play.
"He's the same now, penalties after training, free-kicks, shooting, anything and everything. He's still practising now."