Reports have linked the highly-rated left-back with the likes of Bournemouth, Tottenham and Manchester United in recent weeks.
When asked about the rumours, Tierney said: “I don’t react in any other way than giving my all for Celtic everyday in training and in every game I play.
“I’m flattered by the interest from teams – you have to be – it means you’re doing something well, it means you’re doing something right. I’m just enjoying my time here now.”