The Gillingham boss was a Spurs player for almost a decade.
The 46-year-old has gained a reputation as one of the lower leagues' brightest young bosses, having transformed the Gills into consistent top-half performers in 18 months since he found them teetering in 20th position.
Gillingham stars Jay Emmanuel-Thomas and Bradley Dack celebrate
Previously, Edinburgh managed non-league quartet Billericay Town, Fisher Athletic, Grays Athletic and Rushden & Diamonds and later took Newport County back to the Football League after 25 years in exile.
But despite learning his trade in somewhat less salubrious settings than White Hart Lane, the Essex-born boss insisted he could cut it at a higher level.
"There is nothing wrong with having aspirations and, of course, I would love nothing more than to boss Spurs," Edinburgh said, as quoted by the Sun (Goals pullout, page 20).
Current Spurs incumbent Mauricio Pochettino
"Is it a realistic opportunity? It’s a huge dream to have but I managed to get there as a player.
"The challenge for me now is to get there. You have to have goals and dreams and I don’t see why anyone could tell me why not.
"I think I’ve been successful at every club I’ve been at. The facts prove that.
"I’ve been able to learn and have a bit more time to understand it. I feel I’m equipped to manage at a higher level, that’ for sure."
An FA Cup and League Cup winner during his spell in north London - despite seeing red in the final of the latter competition in 1999 - Edinburgh was sold to Portsmouth less than a year later.