Rose, who joined Spurs from Leeds in 2007, is one of the most successful Thorp Arch products of the last two decades.
It looks like Tottenham will be losing the 29-year-old defender this summer after The Telegraph reported that he wouldn't be going on the team's pre-season tour of Asia.
The Doncaster-born left-back has already been linked to Paris Saint-Germain [The Mirror], but White says that his father would love to see him return to Elland Road.
White said on Sky Sports News' The Transfer Show: "What I can tell you, and it’s quite amusing, I know Nigel Rose, Danny’s dad quite well.
"Tongue-in-cheek he got in touch with me today and said: ‘Jim I’d love for him to go back to Leeds United, the home of the beautiful game’.
"I’m not too sure that’s going to happen Nigel but you tickled me with that this morning."
He might be tempted to re-sign for Leeds at some point in the future, but for now there's zero chance of Rose returning to West Yorkshire.
Rose, who made just one senior appearance in a United squad, is still one of Europe's elite left-backs and, in addition to PSG, many other massive clubs will have their eye on him.
Have something to tell us about this article?