The Dutchman has been prolific in front of goal since joining the Portuguese giants in 2011, netting an impressive 29 times in 53 appearances.
Spurs boss Andre Villas-Boas is short on attacking options, with only Jermain Defoe and Emmanuel Adebayor available in the central forward position.
This has led him to consider the 23-year-old, who may be available in January as talks surrounding a new contract with Jose Alvalade Stadium-based club stall.
According to reports in the Portuguese press the Van Wolfswinkel’s agent Louis Laros is set to discuss a renewed deal and if an agreement cannot be reached he will press for a winter move away from the club.
AVB is believed to be a long-term admirer of the forward, having attempted to sign him when at former club Porto.
Sporting are confident of keeping their man, but a bid in the region of £8m could be enough to secure his signature.
Van Wolfswinkel started his career with Vitesse Arnhem before switching to Eredivisie rivals Utrecht in 2009.
With a goal scoring average of almost one-in-two, Sporting paid a rumoured £5m for his services.