Valdes only joined United in January, arriving as a free agent after running down his contract at Barcelona in 2014.
But now it seems he could be on his way out, with Antalyspor club president Gultekin Gencer telling Eurosport Turkey that "he wants to leave Manchester United."
"We have made an official bid," Gencer added.
Man Utd launch opening £50m bid for Varane - Paper Round
"I believe it will be completed within a couple of days."
Gencer recently brought Samuel Eto'o to the club, and claims to be brokering a deal to sign out-of-contract Brazilian legend Ronaldinho.
United are expected to sell David de Gea to Real Madrid imminently, and also appear to have lost out on Asmir Begovic to Chelsea.
Losing Valdes would therefore mean they no longer have a top class goalkeeper at Old Trafford.
On the one hand, signing a player on a free transfer and flogging him on a few months later is a dreamy bit of business. But there's no way that United could let Valdes go, since it would leave them needing, realistically, two new goalkeepers. So how far should we trust Gencer? Normally it'd be easy to brush this off as a man simply talking a good game, but the Eto'o deal shows that he can back it up and Valdes has shown in the past that all he really wants is a big paycheque. If Valdes hasn't fitted in well at Old Trafford, maybe they would offload him - particularly if the De Dea deal isn't as certain as everybody assumes.
England and Scotland welcome back key defenders for crunch Wembley fixture
Opinion: Somebody is going to get an absolute bargain when they sign Dumfries