The Soccerroo is however currently focusing on the AFC Asian Cup final.
However, the Australian international insists he is just focusing on the Asian Cup final with his nation this weekend and not any of the speculation currently circulating about his future.
"Obviously it's very flattering to have your name involved with a big team like that. But my mind is on the job here.
"I'm just focusing on the tournament and I would love to lift up the trophy come Saturday. For the moment I'm very happy at Club Brugge and my club (with me) also. If it's meant to be, something will happen in the future."
Ryan has been one of the stars for Australia in the Asian Cup, conceding just two goals in the five games that have seen Australia advance to the final at the ANZ Stadium in Sydney, where they will take on pre-tournament favourites South Korea.
His distribution and calmness with the ball at feet is likely to be what has triggered Rodgers' interest in his services, considering the difficulty Mignolet has had in that area of his game.
What does it mean for Liverpool?
It would certainly suggest that Ryan is keen on the move. While he stops short of declaring himself an easy target, he certainly makes his desire to become a Liverpool player clear. What is also clear is that for any deal to happen in the current window is highly unlikely.
The final is on Saturday morning and by the time he has got back to Belgium from Australia the deadline is going to be looming on Liverpool.
If Ryan is the answer Rodgers is looking for, it looks increasingly likely he will have to wait until the summer.