The 21-year-old, who signed for City last summer from Troyes in a 30.8m-pound deal, is understood to be keen on making the switch to North London after a mixed debut campaign in England.
Despite showing flashes of promise, he managed just one goal and eight assists in 29 appearances across all competitions during the 2024/25 season.
Savinho's struggles have been partly compounded by injury, with the winger yet to feature in City's opening two matches of the current campaign.
His lack of impact contrasts sharply with his dazzling loan spell at Girona the season before, where he was instrumental in their remarkable third-place LaLiga finish, ahead of Atletico Madrid and just four points adrift of Barcelona.
City, meanwhile, endured a patchy season under Pep Guardiola last term, and the club now face a dilemma over whether to cash in on a player who has not yet reproduced his Spanish form in the Premier League.
For Spurs, the pursuit of Savinho reflects their determination to add flair and creativity to Ange Postecoglou's attack.
The Brazilian's pace and direct style could provide a fresh dimension to Tottenham's forward line, particularly with his proven ability to unlock defences during his breakout year in Spain.
Manchester City goalkeeper Ederson has been left out of the latest Brazil squad by new head coach Carlo Ancelotti, as speculation mounts over his future at the Etihad.
Manchester City are on the verge of securing a sensational transfer for Paris Saint-Germain's star goalkeeper Gianluigi Donnarumma, with negotiations advancing rapidly.
Manchester City could be on the verge of signing star goalkeeper Gianluigi Donnarumma from Paris Saint-Germain, with transfer guru Fabrizio Romano suggesting an agreement has been reached between the two sides.
Tottenham continued their perfect start to the season with a commanding 2-0 victory over Manchester City, prompting goal scorers Joao Palhinha and Brennan Johnson to heap praise on new head coach Thomas Frank.
