Alderweireld and Dembele are both out of contract next summer and whilst Spurs retain the option to extend the former's deal through until 2020, that will activate a £25m release clause.
Manchester United are believed to be keeping a very close eye on Alderweireld as they look to strengthen their rearguard ahead of the new Premier League season.
Negotiations over a new deal continue to stall, with the Belgian also struggling to break back into the Spurs team at the tail end of last season.
Dembele is believed to be attracting admiring glances from the CSL and Serie A, whilst Rose has struggled to come back after criticising the way the club was run last summer.
The England international lost his place to Ben Davies last season and could head for pastures new this summer, providing someone meets Spurs' valuation.
Any departures would likely be met with like-for-like replacements by Spurs, who are still yet to make a single summer signing with just a week to go until the transfer deadline.