The 22-year-old centre-back has been one of the stars of his current side’s Bundesliga campaign, and may yet help them avoid relegation to Germany’s second tier.
Spurs were linked with him during the winter transfer window, and now reports claim that their interest has been built upon in the form of a concrete swoop.
It’s believed that Tottenham officials have been speaking with Wimmer and his agent, who have been in England for negotiations.
A fee is yet to be settled, but Cologne are thought to be demanding in excess of £7m.
Mauricio Pochettino is believed to be eyeing a new central defender, despite the addition of Federico Fazio last year.
Wimmer had played every minute of his side’s league campaign up until receiving a red card against Eintracht Frankfurt two weeks ago.