The teenage full-back, who enjoyed a productive spell with Rovers last term, has returned on a season-long agreement as he remains some way down the pecking order at parent club Chelsea.
He has started each of Blackburn's opening two fixtures in the Championship and formed part of the England U21 squad for their friendly date with Scotland on Tuesday.
Kane is thoroughly enjoying his football at present and concedes that staying at Blackburn long-term would appeal to him, despite only penning a new contract at Stamford Bridge in April.
He told the Lancashire Telegraph: "I certainly wouldn't rule out joining Blackburn, it is a fantastic club.
"There were talks last year, but Chelsea wanted me to stay at Stamford Bridge and I signed a new contract that keeps me there until 2016.
"I really like Blackburn, I'm pleased to come back and I'm very grateful they wanted me back.
"I'd consider it if Blackburn came in for me, but right now I'm a Chelsea player and my main priority is to try and establish myself at Stamford Bridge before I think about anything else.
"Blackburn have given me a fantastic opportunity, though, and who knows what might happen in the future.
"I'm very settled and Gary Bowyer has created a great spirit, there's a real feeling of optimism about the place."