According to Portuguese outlet A Bola, the Primeira Liga outfit are planning to offer the forward a pay bump as part of a new contract to reward him for his loyalty to the club.
Gyokeres signed for Sporting last summer from Coventry in a deal worth a reported €20 million (£16.9 million).
The deal also included a sell-on clause worth 15 per cent, which means the Sky Blues could have received another windfall from the striker if he left again this summer.
Gyokeres has earned a lot of praise for his performances in the Portuguese top flight, where he scored 29 goals in 33 appearances in his debut season, as well as notching 10 assists – all of which has led to speculation over his future and perhaps moving on to a bigger club after just one year in Lisbon.
Coventry City set to be dealt Viktor Gyokeres blow by Sporting CP
Gyokeres is set to stay at Sporting beyond the summer market, despite reported interest from the likes of Arsenal.
The Swede was linked with a move back to English football earlier in the year, with Chelsea among the clubs mentioned as a potential next destination.
However, the 26-year-old is set to commit his future to Sporting for at least another season by turning down a move.
Gyokeres is currently recovering from an injury issue that required surgery, but he has impressed the hierarchy at Sporting by getting ready in time for pre-season, which is now underway.