Tierney has established himself as one of Celtic's star men, and it has led to frequent reports regarding a transfer to the Premier League.
Spanish giants Atletico Madrid are also said to be admirers of Tierney, but while acknowledging that he is 'flattered' by the speculation, the full-back has not ruled out remaining in Glasgow for the rest of his playing days.
The 20-year-old is quoted by The Herald as saying: "I've never thought about elsewhere yet, in my life. It's just been Celtic since the age of seven.
"Can I see myself being here all my career? Yes, I can, but, you never know in football. I've never thought about being away from Celtic. Maybe one day it will happen.
"It's a kind of confidence-booster in a way to know that you've put the hard work in and massive teams all over Europe are noticing it. It's flattering for teams like that to be interested."
The Scotland international has already made 129 appearances for the Glasgow giants.