Signing the Belgian to go with Cesar Azpilicueta and Andres Christensen would ensure that whoever is Blues boss next season would have a formidable three-man defence to build upon next season.
The report states that Chelsea are ready to battle Manchester United for the Belgian central defender, who has a contract that runs until 2019, with the prospect of an extension until 2020.
However, if Spurs do trigger that automatic extension, Alderweireld – who is valued at £36m by Transfermarkt – would be free to leave for just £25m.
Tottenham would apparently be unwilling to sell to Chelsea under normal circumstances but the Blues feel that the unique contract situation gives them a chance as Spurs may want to cash in.
Alderweireld has had his injury problems this season and Spurs have coped well in his absence but there is no better centre-half in the Premier League.
He has pace and athleticism to go with his reading of the game. Azpilicueta is probably the best one vs one defender in the division and the duo would be formidable together.
Christensen has made mistakes in recent weeks but there is no doubt that he is a huge talent and has been a rare positive this season for the Blues.
The three of them together would reignite the three-man defence in use at the Bridge and would push David Luiz and Gary Cahill ever closer to the exit door.
Signing one of Spurs’ elite players by paying him the £150,000 per week he reportedly wants would also be a timely reminder of Chelsea’s superior financial muscle, despite Tottenham’s impending stadium move, which would signal to their fans that they really mean business next time around.