Savinho was a regular under Pep Guardiola last season, scoring three times in 48 appearances across all competitions.
But City signed France winger Rayan Cherki from Lyon in a £30m deal this summer, which could limit Savinho’s opportunities at the Etihad.
Tottenham head coach Thomas Frank is keen to bolster his attacking options after Son Heung-min was sold to Major League Soccer side LAFC last week.
Mohammed Kudus arrived in a £55m deal from West Ham earlier this summer, while the club failed to secure a £60m move for Nottingham Forest playmaker Morgan Gibbs-White.
Spurs’ need for attacking reinforcements has been heightened since midfielder James Maddison was ruled out for the majority of the upcoming season with a knee injury.
The England international sustained an anterior cruciate ligament (ACL) tear during a pre-season friendly draw against Newcastle United in Seoul, South Korea, earlier this month.
