The 27-year-old Swede has primarily been linked with Arsenal, Manchester United, and Juventus.
Liverpool are also searching for a central striker and will actively pursue targets after offloading Darwin Nunez, who is currently closest to a move to Napoli.
Liverpool eyes Gyokeres
Liverpool have been linked with Alexander Isak and Hugo Ekitike, but Gyokeres is also on their shortlist, per Sportal.
The report suggests that Liverpool representatives have recently inquired about the striker's price.
Sporting remain firm on their €80 million valuation, while Gyokeres is reportedly pushing for a lower fee and has even threatened strike action.
The Reds have already brought in Jeremy Frimpong, Florian Writz and Kerkez to the club this summer as they look to defend their Premier League title.