The North London-based team is looking to strengthen its squad after James Maddison and Dejan Kulusevski suffered injuries.
Spurs had initially attempted to sign Eze, but Arsenal managed to outbid them, securing the England international for a reported £67.5 million.
According to sources, Tottenham is now working on a new bid for Savinho, a 21-year-old Brazilian player, after an initial offer was rejected.
The two clubs will face each other at the Etihad Stadium on August 23, and it is understood that Tottenham is planning to submit a €70m bid for Savinho's services.
Manchester City manager Pep Guardiola is said to be keen on keeping Savinho at the club, but Tottenham remains determined to bring the player to their team.