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Speculation over a potential switch to Old Trafford intensified after Ruben Amorim took the reins, particularly as the team grapples with a goal drought this season.
But in a twist that will disappoint United fans, it seems that Gyokeres is setting his sights elsewhere.
Previously quizzed in February, Varandas said: "Gyokeres was leaving in the summer, a year ago, a year and a half ago...
Gyokeres was going to leave, anyway.
I'm not going to add to it, it's already very media-driven and it's not worth talking about the summer market."
Several top European clubs, including Real Madrid, Barcelona, Bayern Munich and Paris Saint-Germain, are reportedly interested in signing him, which could lead to a bidding war with Premier League teams.
Gyokeres has been in sensational form for Sporting, scoring 82 goals in 90 appearances since his move from Coventry.
However, former United player Rio Ferdinand has expressed doubts about whether Gyokeres would be a good fit for his old club.
Ferdinand said: "I don't think he's the guy.
I've not watched him loads but I've probably watched him three times really, really closely.
"Three times I've watched him and I've gone, he ain't getting those opportunities in the Premier League.