The Swede has scored 28 goals and assisted seven in 23 games for club and country this season.
This has made him one of the hottest commodities in football right now and is said to have a release clause of just £63million.
Man United have since been linked following Amorim's arrival, while Chelsea and Arsenal are long-term admirers.
Speaking to Fotbollskanalen about the transfer rumours surrounding him he said: "It's not something I think about, nor something I give any importance to. It's just rumours, nothing concrete.
"Of course I want to finish the season at Sporting, I'm enjoying my time there. I don't feel stressed about making a change in the future. We'll see when the time comes.
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Addressing a possible move to Man United, Gyokeres said: "He [Ruben Amorim] probably already has strikers there... It's very sad that he left [Sporting], but of course we understand the decision."
A sentence fans of the Red Devils would hate to hear considering Rasmus Hojlund's struggles and new signing Joshua Zirkzee not setting Old Trafford alight despite a debut winner against Fulham.
Gyokeres continued: "He meant a lot to me, given that he gave me an opportunity and helped me to develop a lot. Now, we're looking forward to working with the new coach [Joao Pereira]."
According to the striker he has no 'particular preference' regarding the destination of his next step.
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Whether he is telling the truth or not remains a mystery but a return to England may be on the cards.
He previously played for Coventry City departing after they lost the 2023 Championship play-off final to Luton Town on penalties.
Where that will be is unknown but Gyokeres certainly is in high demand.
Many Arsenal fans are calling for a goalscoring nine to compete alongside Erling Haaland and Manchester City who have taken the league by storm since joining from Borussia Dortmund in 2022.
Despite an uptick in form Kai Havertz has not gained the support of all gooners as he lacks a convincing goalscoring record.
Also compounded by Arsenal's recent struggles to hit the back of the net, only scoring one goal in their last three matches.
Haaland and Gyokeres went head-to-head, the battle of the Scandinavians, when Man City lost 4-1 to Sporting thanks to a hat-trick from the Sweden striker.
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"It meant a lot, of course," said Gyokeres, speaking about the win. "It was a Champions League game and the coach's last at home. It was good to end on a good note. It was also good for me to score three goals.
The "good atmosphere" at the club is one that allows him to thrive and hit the form of his life but it is almost always the case that inform Liga Nos striker's leave for a big fee.
Darwin Nunez to Liverpool (£85m) and Joao Felix to Atletico Madrid (£113m) are the best examples.