Bayern Munich wants Tottenham to make a choice on an England striker by the end of Friday.
The German champions have reportedly made at least one offer for Kane, who Bild says has already agreed terms.
The deadline indicates that Bayern is becoming dissatisfied with the existing scenario, though it is unclear whether they would subsequently walk away from any arrangement if it was not fulfilled.
Tottenham has declined to respond.
Bayern Munich wants Tottenham to make a choice on an England striker Harry Kane.
Kane, 30, is the Spurs’ all-time leading scorer, but he only has one year left on his deal.
There has been no indication that Kane would be ready to extend his contract, so if Tottenham chairman Daniel Levy decides to keep the England captain, it will effectively be the club’s final opportunity to cash in on their talisman.
Bayern officials met with Levy earlier this week but did not reach an agreement.
Tottenham open their Premier League campaign at Brentford on 13 August. Bayern begin their season with a German Super Cup meeting with RB Leipzig a day earlier.
The transfer window does not close until 1 September, but it is felt all sides would prefer a resolution before the new season begins.
Bayern Munich wants Tottenham to make a choice on an England striker Harry Kane.