The Portuguese giants are keen to keep hold of their Algerian striker.
He is reported by Africa Top Sports to have said on the subject of Slimani:
"We do not intend to sell our best players Slimani or elsewhere. The most important is to do our best to build a good team next season and be able to fight in the Champions League."
The 26-year-old former CR Belouizdad player has scored 14 goals in 29 appearances for sporting this season, an impressive record that has attracted suitors from the Premier League.
Spurs are lacking in the striker department, with Harry Kane carrying all the weight of goalscoring this season because of varying issues with Roberto Soldado and Emmanuel Adebayor.
Slimani could prove the solution.
They will have rivals.
Leicester City were linked with a 15 million euro bid by Goal earlier this week. The Foxes, who look to be safe in the Premier League for another season, made a move for the player last summer after he had impressed for Algeria at the World Cup.
Stoke City and West Ham have also been linked with his signature - but it would seem that neither they, nor Tottenham and Leicester are going to get their hands on the forward this summer.