Nabil Bentaleb, Clinton N'Jie, Federico Fazio and Alex Pritchard are set to be on the move after being left at home by Tottenham.
None of the four were named in Spurs' squad for their visit to Melbourne for the International Champions Cup.
The Daily Mail says each will look for a move while Tottenham are Down Under.
Manager Mauricio Pochettino has also decided against taking players whose countries made it out of the group stages at the European Championships.
That means Harry Kane, who looked out of sorts and tired during England's miserable campaign in France, will get much needed additional time off.