The paper report that Slimani wants a wage increase if he is to stay, yet as already one of Sporting's highest paid players, the Primeira Liga side are unlikely to be able to meet his demands.
The striker will know he could potentially secure a higher salary with a Premier League move, and he won't be short of suitors.
The same paper note that West Ham United and Leicester City both expressed an interest in signing him last summer, only for Sporting to hold firm.
The Star reported in January that Tottenham Hotspur were also considering a bid for the forward, suggesting a possible £6 million offer.
Slimani has a contract until 2017, so Sporting could simply continue to play hardball and keep the striker put and refuse to negotiate.
This season he has 11 goals in 19 appearances in the league, plus two in six Champions League games.
Slimani is an Algerian international with 14 caps in 36 games, and featured at the World Cup in Brazil last summer.