Irving has won a number of awards during his short career, having achieved Rookie of the Year in 2012 and made the All-Star team last season.
"I haven't been a leader – not at all," the 22-year-old told RealGM.
"Everybody asks me if this is my year to be a leader... I haven't been so far though, not at all. I've just been a kid trying to figure it out.
"There's no perfect way to be a leader, and coming in as a 19-year-old kid and having everything bearing on your shoulders, there are a lot of ups and downs. Now it's about being the best every single day and not being afraid."