The Australian has been linked to the Premier League for the last few years, interesting Liverpool according to reports and having had a trial at Tottenham in 2012.
The Belgian outfit have said that Ryan is travelling to Spain to take part in a medical ahead of a high profile move to Los Che.
Ryan thanked Club Brugge on their website, saying: "If I pass my medical tests, I will indeed leave Club [Brugge]. It was a pleasure to work in such a warm and friendly club.
"The club did everything to make me star an extra year at Club, and that made the choice even harder. I had a great time here in Bruges. But I feel that it is time to take this step."
The 23-year-old has enjoyed a meteoric rise over the last few years, having first come to Europe for a trial with Tottenham in 2012, when Andre Villas-Boas was in charge, as stated in this report from media outlet The Australian.
The young 'keeper, who was then registered with Central Coast Mariners in the A-League, spent a week on trial at White Hart Lane, when the only stoppers at the club were Brad Friedel, Heurelho Gomes and Carlos Cudicini, though the club of course went on to sign French captain Hugo Lloris that summer.
Rumours at the time suggested Spurs were interested in Ryan, but nothing further occurred and he instead ended up signing for Club Brugge the summer after.
It proved to be a good move for Ryan, as he established himself as the club's first choice goalkeeper, on the way to being voted the best goalkeeper in Belgium for successive seasons, and won the Australian number one jersey.
Liverpool were also linked with the player in January by the Mirror, when Simon Mignolet was struggling with his form, but now it looks like Ryan has bypassed the Premier League entirely, and is set to feature in the Champions League next season with a Valencia side without injured regular number one Diego Alves.
Those at Spurs must be ruing the missed opportunity to sign Ryan, especially considering their lack of a promising up and coming goalkeeper. Doubts remain over the future of Hugo Lloris, while the need to sign Michel Vorm last summer could have been avoided if Spurs would have signed the Australian in 2012, with him still surely developing if the club would have loaned him out after completing a deal.
As it is, both Tottenham, and to a lesser degree Liverpool, may look back at any chance they had of snapping up Ryan with some regret.