However, Leno has insisted that his main priority is to help Leverkusen secure a return to the Champions League, with the club currently just two points adrift of second place in the Bundesliga standings.
The 26-year-old told Bild: "I have often said that playing abroad is tempting for me but right now, I am not wasting too much time on those thoughts. First of all, I want to return to Champions League with Bayer Leverkusen.
"There's been speculation like that two years ago and I thought about that too much back then. Those questions kept coming. Two years down the road, I am more relaxed now."
Leno - who has won six caps for Germany - is currently participating in his seventh campaign with Leverkusen.